Personal websites

Publications

 

Articles on arXiv

Profile on Zentralblatt

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Profile on Google Scholar

Profile on Web of Science

 

 

Preprints

1.

C. Costoya, V. Muñoz and V. Viruel, Finite sets containing zero are mapping degree sets

2.

S. Bunk, V. Muñoz, C. S. Shahbazi, The local moduli space of the Einstein-Yang-Mills system

3.

Á. González-Prieto, J. Martínez, V. Muñoz, Character varieties of torus links

4.

V. Muñoz, R. Pérez-Marco, Stirling-Ramanujan constants are exponential periods

 

Papers

124. A. González-Prieto, M. Logares, J. Martínez and V. Muñoz, Stratification of the SU(r)-character varieties of twisted Hopf links, Contemporary Mathematics. Special volume "Conference Moduli Spaces and Vector Bundles - New Trends. In honor of 80th birthday of Peter Newstead" (eds. M. Teixidor, M. Melo, P. Gothen), American Mathematical Society. To appear.
123. V. Muñoz, A Smale-Barden manifold admitting K-contact but not Sasakian structure, Journal European Math. Society, to appear.
122. F. Gironella, V. Muñoz and Z. Zhou, Asymptotically holomorphic theory for symplectic orbifolds, Mathematische Zeitschrift, Vol. 304, 2023, article 21.
121.

M. Fernández, A. Fino, A. Kovalev and V. Muñoz, On nearly parallel G_2-manifolds, Mathematics Research Letters, to appear.

120. C. Costoya, V. Muñoz, A. Tocino and V. Viruel, Automorphism groups of Cayley evolution algebras, RACSAM, Vol. 117, 2023, article 82
119. A. González-Prieto, J. Martínez and V. Muñoz, Geometry of the SU(3)-character variety of torus knots, Topology and its Applications. Special volume in honor to 70th birthday of J.M.R. Sanjurjo. Vol. 339, 2023, 108586
118. A. González-Prieto and V. Muñoz, Motive of the SL_4-character variety of torus knots, Journal of Algebra, Vol. 610, 2022, 852-895. Accompanying counting script here. Accompanying output here
117. J. Martín-Ovejero and V. Muñoz, Coordinate rings of some SL_2-character varieties, Revista de la Unión Matemática Argentina, doi.org/10.33044/revuma.3192
116. A. González-Prieto and V. Muñoz, Representation varieties of twisted Hopf links, Mediterranean Journal of Mathematics, Vol. 20, 2023, article 89.
115. G. Bazzoni, A. Garvín and V. Muñoz, Purely coclosed G_2-structures on nilmanifolds, Mathematische Nachrichten, Vol. 296, issue 6, 2023, 2197-2656.
Accompanying SageMath worksheets here
114. A. Cañas, V. Muñoz, M. Schütt and A. Tralle, Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds, Revista Matemática Iberoamericana, Vol. 38, 2022, 1029-1050.
113. G. Bazzoni, L. Martín-Merchán and V. Muñoz, Spin-harmonic structures and nilmanifolds, Communications in Analysis and Geometry, to appear
112. A. González-Prieto and V. Muñoz, Character varieties of torus knots, In: TEMatmonográficos, 2 (2021): Proceedings of the 3rd BYMAT Conference, pp. 39-42.
111. V. Muñoz, M. Schütt and A. Tralle, Negative Sasakian structures on simply-connected 5-manifolds, Mathematical Research Letters, Vol. 29, 18251855, 2022
110. V. Muñoz and A. Tralle, On the classification of Smale-Barden manifolds with Sasakian structures, Communications in Contemporary Mathematics, 2021, 2150077, 17 pp.
109. V. Muñoz, Gompf connected sum for orbifolds and K-contact Smale-Barden manifolds, Forum Mathematicum, Vol. 34, 2022, no. 1, 197-223.
108. A. González-Prieto and V. Muñoz, The point counting problem in representation varieties of torus knots, Montes Taurus Journal of Pure and Applied Mathematics, vol. 4, issue 3, Special Issue: "Dedicated to Professor Themistocles M. Rassias on the occasion of his 70th Birthday", 2022, pp. 114-130.
107. A. González-Prieto and M. Logares and V. Muñoz, Motive of the representation varieties of torus knots for low rank affine groups, Analysis, Geometry, Nonlinear Optimization and Applications (E. Pardalos and Th.M. Rassias, eds.), World Scientific Publ. Co., to appear.
106. C. Costoya, V. Muñoz and A. Viruel, On strongly inflexible manifolds, International Mathematics Research Notices, doi.org/10.1093/imrn/rnac064
105. M. Fernández, A. Fino, A. Kovalev and V. Muñoz, A compact G_2-calibrated manifold with first Betti number b_1=1, Advances in Mathematics, Vol. 381, 2021, 107623, 37 pp.
104. A. Cañas, V. Muñoz, J. Rojo and A. Viruel, A K-contact simply connected 5-manifold with no semi-regular Sasakian structure, Publicacions Mathemàtiques, Vol. 65, 2021, 615-651.
103. D. Barsky, V. Muñoz and R. Pérez-Marco, On the genesis of BBP formulas, Acta Arithmetica, Vol. 198, No. 4, 2021, 401-426.
102. A. González-Prieto, M. Logares and V. Muñoz, Representation variety for the rank one affine group, "Mathematical Analysis in Interdisciplinary Research" (I.N. Parasidis, E. Providas and Th.M. Rassias, eds.), Springer Optimization and Its Applications, vol. 179, 2021, pp. 381-416. The accompanying counting script can be obtained here.
101. A. González-Prieto, M. Logares and V. Muñoz, A lax monoidal Topological Quantum Field Theory for representation varieties, Bulletin des Sciences Mathématiques, Vol. 161, 2020, 102871.
100. V. Muñoz and C.S. Shahbazi, Transversality for the moduli space of Spin(7)-instantons, Review in Mathematical Physics, Vol. 32, 2020, 2050013.
99. I. Biswas, V. Muñoz and A. Murillo, Rationally elliptic toric varieties, Tokyo Journal of Mathematics, Vol. 44, No. 1, 2021, 235-250.
98. M. Fernández, V. Muñoz and J. Sánchez, On SO(3)-bundles over the Wolf spaces, Revista Matemática Iberoamericana, Vol. 36, Issue 1, 2020, 159-193.
97. V. Muñoz and J.A. Rojo, Symplectic resolution of orbifolds with homogeneous isotropy, Geometriae Dedicata, Vol. 204, no. 1, 2020, 339-363.
96. V. Muñoz, J.A. Rojo and A. Tralle, Homology Smale-Barden manifolds with K-contact and Sasakian structures, International Mathematical Research Notices, Vol. 2020, No. 21, 2020, 7397-7432.
95. M. Fernández, S. Ivanov and V. Muñoz, Formality of 7-dimensional 3-Sasakian manifolds, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), Vol. XIX, issue 1, 2019, 297-309.
94. V. Muñoz and C.S. Shahbazi, Orientability of the moduli space of Spin(7)-instantons, Pure and Applied Mathematics Quarterly, Vol. 13, No. 3, 2018, 453-476. Special issue in honor to Prof. Simon Donaldson's 60th birthday.
93. G. Bazzoni, M. Fernández and V. Muñoz, A 6-dimensional simply connected complex and symplectic manifold with no Kähler metric, Journal of Symplectic Geometry, Vol. 16, No. 4, 2018, 1001-1020.
92. M. Heusener, V. Muñoz and J. Porti, The SL(3,C)-character variety of the figure eight knot, Illinois Journal of Mathematics, Vol. 60, No. 1, 2017, 55-98. Special issue "Collection of Articles in Honor of Wolfgang Haken".
91. G. Bazzoni, I. Biswas, M. Fernández, V. Muñoz and A. Tralle, Homotopic properties of Kähler orbifolds, In: Special Metrics and Group Actions in Geometry (Chiossi S., Fino A., Musso E., Podesta F., Vezzoni L., eds.), Springer INdAM Series, vol 23. Springer. pp. 23-57.
90. G. Bazzoni, M. Fernández and V. Muñoz, Formality and the Lefschetz property in symplectic and cosymplectic geometry, Complex Manifolds, Vol. 2, 2015, 53-77.
89. I. Biswas, M. Fernández, V. Muñoz and A. Tralle, On formality of Sasakian manifolds, Journal of Topology, Vol. 9, No. 1, 2016, 161-180.
88. S. Lawton and V. Muñoz, E-polynomial of the SL(3,C)-character variety of free groups, Pacific Journal of Mathematics, Vol. 282, No. 1, 2016, 173-202.
87. J. Martínez and V. Muñoz, E-polynomials of the SL(2,C)-character varieties of surface groups, International Mathematics Research Notices, Vol. 2016, No. 3, 2016, 926-961.
86. V. Muñoz and J. Porti, Geometry of the SL(3,C)-character variety of torus knots,  Algebraic and Geometric Topology, Vol. 16, No. 1, 2016, 397-426.
85. J. Martínez and V. Muñoz, E-polynomial of the SL(2,C)-character variety of a complex curve of genus 3, Osaka Journal of Mathematics, Vol. 53, 2016, 645-681.
84. V. Muñoz and A. Tralle, Simply-connected K-contact and Sasakian manifolds of dimension 7, Mathematische Zeitschrift, Vol. 281, No. 1, 2015, 457-470.
83. V. Muñoz and J. Sánchez, Equivariant motive of the SL(3,C)-character variety of torus knots, "A mathematical tribute to Professor José María Montesiones Amilibia", Editorial UCM, (M. Castrillón, E. Martín-Peinador, J.M. Rodríguez-Sanjurjo, J.M. Ruiz, eds.), 2016, 517-526.
82. M. Logares and V. Muñoz, Hodge polynomials of the SL(2,C)-character variety of an elliptic curve with two marked points, International Journal of Mathematics, Vol. 25, No. 14, 2014, 1450125, 22 pp.
81. G. Bazzoni and V. Muñoz, Manifolds which are complex and symplectic but not Kähler,  "Essays in Mathematics and its applications: In Honor of Vladimir Arnold", Springer (eds. Th. Rassias, P. Pardalos), 2016, 49-69.
80. J. Martínez and V. Muñoz, The SU(2)-character varieties of torus knots, Rocky Mountain Journal of Mathematics, Vol. 40, 2015, 583-602.
79. V. Muñoz and R. Pérez-Marco, Unified treatment of explicit and trace formulas via Poisson-Newton formula, Communications in Mathematical Physics, Vol. 336, 2015, 1201-1230.
78. G. Bazzoni, M. Fernández and V. Muñoz, Non-formal co-symplectic manifolds, Transactions of the American Mathematical Society, Vol. 367, 2015, 4459-4481.
77. V. Muñoz, On rotation of complex structures, Journal of Geometry and Physics, Vol. 87, 2015, 344-353.
76. V. Muñoz, Spin(7)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori, Journal de Mathématiques Pures et Apliquées, Vol. 102, 2014, 124-152.
75. V. Muñoz and R. Pérez-Marco, On the genus of meromorphic functions, Proceedings of the American Mathematical Society, Vol. 143, 2015, 341-351.
74. V. Muñoz, A.G. Oliveira and J. Sánchez, Motives and the Hodge Conjecture for moduli spaces of pairs, Asian Journal of Mathematics, Vol. 19, 2015, 281-306.
73. A.G. Escribano, A.B. Ventre-Lespiauq, C. Granado-Yela, A. López-Pintor, J.A. Delgado, G.A. Dorado, V. Muñoz and L. Balaguer, Simplifying data acquisition in plant canopies - Measurements of leaf angles with a cell phone, Methods in Ecology and Evolution, 2014, Vol. 5, 132-140.
72. M. Logares, V. Muñoz and P. Newstead, Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus
Revista Matemática Complutense, Vol. 26, 2013, 635-703.
71. (with I. Biswas, V. Muñoz and J. Sánchez, Equivariant vector bundles and logarithmic connections on toric varieties, Journal of Algebra, Vol. 384, 2013, 227-241.
70. J. Fernández de Bobadilla, J. Fresán, V. Muñoz and A. Murillo, The Hilali Conjecture for hyperelliptic spaces, "Mathematics without boundaries: Surveys in Pure Mathematics" (P. Pardalos and Th.M. Rassias, eds.), 2014, Springer, pp. 21-36.
69. I. Biswas and T. Gómez, Automorphisms of moduli spaces of vector bundles over a curve, Expositiones Mathematicae, Vol. 31, 2013, 73-86.
68. V. Muñoz and R. Pérez-Marco, Intersection theory for ergodic solenoids, "Frontiers in Complex Dynamics: In Celebration of John Milnors 80th Birthday" (eds. A. Bonifant, M. Lyubich and S. Sutherland). Princeton Univ. Press, 2014, 623-644.
67. I. Biswas, T. Gómez and V. Muñoz, Rationality and Brauer group of a moduli space of framed bundles, Tbilisi Mathematical Journal, Vol. 4, 2011, 31-38.
66. I. Biswas, M. Logares and V. Muñoz, Rationality of the moduli spaces of stable pairs over a complex curve, Nonlinear Analysis, Vol. 68, 2012, Springer Optimization, 65-77.
65. M. Calvo and V. Muñoz, The most inaccessible point of a convex domain, Forum Geometricorum, Vol. 13, 2013, 37-52.
64. I. Biswas, T. Gómez and V. Muñoz, Automorphisms of the moduli space of symplectic bundles, International Journal of Mathematics, Vol. 23, 2012, 125-152.
63. I. Biswas, M. Logares and V. Muñoz, Brauer group of moduli spaces of pairs, Communications in Algebra, Vol. 40, 2012, 1605-1617.
62. V. Muñoz and R. Pérez-Marco, Ergodic solenoidal homology: Realization theorem, Communications in Mathematical Physics, Vol. 302, 2011, 737-753.
61. G. Bazzoni and V. Muñoz, Classification of minimal algebras over any field up to dimension 6, Transactions of the American Mathematical Society, Vol. 364, 2012, 1007-1028.
60. V. Muñoz and R. Pérez-Marco, Ergodic solenoids and generalized currents, Revista Matemática Complutense, Vol. 24, 2011, 493-525.
59. V. Muñoz and R. Pérez-Marco, Ergodic Solenoidal Geometry, "Cosmology, Quantum Vacuum, and Zeta Functions. Papers in honor of Emilio Elizalde on the occasion of his 60th birthday" (eds. D. Sáez-Gómez, S. Odintsov y S. Xambó), Springer. Proceedings in Physics, Vol. 137, 2011, 333-352.
58. V. Muñoz and R. Pérez-Marco, Schwartzman cycles and ergodic solenoids, Essays in Mathematics and its Applications (eds. P. Pardalos and Th. M. Rassias), 295-333, Springer, 2012.
57. V. Muñoz and R. Pérez-Marco, Hodge theory for Riemannian solenoids, "Functional Equations in Mathematical Analysis: A volume Dedicated to the 100th Anniversary of S. M. Ulam" (eds. Th. M. Rassias and J. Brzdek), Springer Optimization and Its Applications, Vol. 52, 2012, 633-657.
56. V. Muñoz and F. Presas, Geometric structures on loop and path spaces, Proceedings in Mathematical Sciences of the Indian Academy of Sciences, Vol. 120, 2010, no. 4, 417-428.
55. V. Muñoz, Hodge structures of the moduli space of pairs, International Journal of Mathematics, Vol. 21, 2010, no. 11, 1505-1529.
54. I. Biswas, T.L. Gómez and V. Muñoz, Torelli theorem for the moduli space of framed bundles, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 148, 2010, no. 3, 409-423.
53. S. Bradlow, O. García-Prada, V. Mercat, V. Muñoz and P. Newstead, Moduli spaces of coherent systems of small slope on algebraic curves, 
Communications in Algebra, Vol. 37, 2009, no. 8, 2649-2678.
52. I. Biswas and V. Muñoz, Moduli spaces of connections on a Riemann surface, Proceedings of the International Workshop on "Teichmuller Theory and Moduli Problems", Allahabad, 2006. Ramanujan Mathematical Society Lecture Notes Series in Mathematics, no. 10, 2010, 95-111
51. V. Muñoz and R. Pérez-Marco, Ergodic solenoidal homology: Density of ergodic solenoids, Australian Journal of Mathematical Analysis and Applications, Vol. 6, no. 1, 2009, article 1, 8 pp.
50. V. Muñoz, D. Ortega and M-J. Vázquez-Gallo, Hodge polynomials of the moduli space of triples of rank (2, 2), Quarterly Journal of Mathematics, Vol. 60, no. 2, 2009, 235-272.
49. O. García-Prada, M. Logares and V. Muñoz, Connected components of the moduli space of parabolic U(p,q)-Higgs bundles, Quarterly Journal of Mathematics, Vol. 60, no. 2, 2009, 183-233.
48. V. Muñoz, The SL(2,C)-character varieties of torus knots, Revista Matemática Complutense, Vol. 22, no. 2, 2009, 489-497.
47. V. Muñoz, Torelli theorem for the moduli spaces of pairs, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 146, no. 3, 2009, 675-693.
46. I. Biswas and V. Muñoz, Torelli theorem for moduli spaces of SL(r,C)-connections on a compact Riemann surface, Communications in Contemporary Mathematics, Vol. 11, no. 1, 2009, 1-26.
45. M. Fernández, S. Ivanov, V. Muñoz and L. Ugarte, Nearly hypo structures and compact Nearly Kähler 6-manifolds with conical singularities, Journal of the London Mathematical Society, Vol. 78, 2008, 580-604.
44. V. Muñoz, Hodge polynomials of the moduli spaces of rank 3 pairs, Geometriae Dedicata, Vol. 136, 2008, 17-46.
43. M. Fernández and V. Muñoz, An 8-dimensional non-formal simply connected symplectic manifold, Annals of Mathematics (2) Vol. 167, no. 3, 2008, 1045-1054.
42. G. Cavalcanti, M. Fernández and V. Muñoz, On formality of a simply-connected 8-manifold, XVI International Fall Workshop in Geometry and Physics, R. L. Fernandes and R. Picken (eds.), American Institute of Physics Conference Proceedings, Vol. 1023, 2008, 82-92.
41. G. Cavalcanti, M. Fernández and V. Muñoz, Symplectic resolutions, Lefschetz property and formality, Advances in Mathematics, Vol. 218, no. 2, 2008, 576-599.
40. I. Biswas and V. Muñoz, On the rational homotopy type of a moduli space of vector bundles over a curve, Commmunications in Analysis and Geometry, Vol. 16, no. 1, 2008, 183-215.
39 M. Fernández and V. Muñoz, Erratum: Formality of Donaldson submanifolds [Math. Z. 250 (2005), no. 1, 149- 175], Mathematische Zeitschrift, Vol. 257, 2007, 465-466.
38. V. Muñoz, D. Ortega and M-J. Vázquez, Hodge polynomials of the moduli spaces of pairs, International Journal of Mathematics, Vol. 18, No. 6, 2007, 695-721.
37. S.B. Bradlow, O. García Prada, V. Mercat, V. Muñoz and P.E. Newstead, On the geometry of moduli spaces of coherent systems on algebraic curves, International Journal of Mathematics, Vol. 18, No. 4, 2007, 411-454.
36. I. Biswas and V. Muñoz, Torelli theorem for the moduli spaces of connections on a Riemann surface, Topology, Vol. 46, 2007, 295-317.
35. O. García Prada, P. Gothen and V. Muñoz, Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, Memoirs of the American Mathematical Society, Vol. 187, 2007.
34. M. Fernández, V. Muñoz and L. Ugarte, Weakly Lefschetz symplectic manifolds, Transactions of the American Mathematical Society, Vol. 359, 2007, 1851-1873.
33. M. Fernández and V. Muñoz, Non-formal compact manifolds with small Betti numbers, Proceedings of the Conference Contemporary Geometry and Related Topics; N. Bokan, M. Djoric, A.T. Fomenko, Z. Rakic, B. Wegner & J. Wess (editors); University of Belgrade 2006, pp. 231-246.
32. D. Auroux, V. Muñoz and F. Presas, Lagrangian submanifolds and symplectic Lefschetz pencils, Journal of Symplectic Geometry, Vol. 3, No. 2, 2005, 173-221.
31. M. Fernández, V. Muñoz and L. Ugarte, The ddelta-lemma for weakly Lefschetz symplectic manifolds, Differential Geometry and its Applications, Proceedings Conference Prague, August 30- September 3, 2004. Editors: J. Bures, O. Kowalski, D. Krupka, J. Slovák. Charles University, Prague (Czech Republic), 2005, 229-246.
30. V. Muñoz and B-L. Wang, Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures, Mathematische Nachrichten, Vol. 278, 2005, 844-863.
29. M. Fernández and V. Muñoz, Homotopy properties of symplectic blow-ups, Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra, 2003, Publicaciones de la RSME, vol. 7, 2005, 95-109.
28. M. Fernández and V. Muñoz, The geography of non-formal manifolds, Complex, Contact and Symmetric Manifolds - In Honor of L. Vankecke; O. Kowalski, E. Musso, and D. Perrone (eds.), Progress in Mathematics, Vol. 234, Birkhäuser Boston-Basel- Berlin, 2005, 121-129.
27. M. Fernández and V. Muñoz, Formality of Donaldson submanifolds, Mathematische Zeitschrift, Vol. 250, 2005, 149-175.
26. O. Calvo, V. Muñoz and F. Presas, Codimension one symplectic foliations, Revista Iberoamericana Matemática, Vol. 21, No. 1, 2005, 25-46.
25. M. Fernández and V. Muñoz, Examples of symplectic s-formal manifolds, Proceedings of the II International Meeting on Lorentzian Geometry, Murcia, November 2003. Publicaciones de la RSME, Vol. 8, 2004, 41-53.
24. J. Amorós, V. Muñoz and F. Presas, Generic behavior of asymptotically holomorphic Lefschetz pencils, Journal of Symplectic Geometry, Vol. 2, No. 3, 2004, 377-392.
23. M. Fernández and V. Muñoz, On non-formal simply connected manifolds, Topology and its Applications, Vol. 135, 2004, 111-117.
22. M. Fernández, V. Muñoz and J. A. Santisteban, Symplectically aspherical manifolds with nontrivial pi_2 and with no Kähler metrics, Contemporary Geometry and Related Topics, Proceedings of the Workshop, Belgrade, Yugoslavia, 15-21 May 2002. Editors N. Bokan, M. Djoric, Z. Rakic, A.T. Fomenko, J. Wess. World Scientific Press, 2004, 187-200.
21. D. Martínez, V. Muñoz and F. Presas, Open book decompositions for almost contact manifolds, Proceedings of the XI Fall Meeting in Geometry and Physics, Publicaciones de la RSME, Vol. 6, 2003, 131-149.
20. S. Bradlow, O. García-Prada, V. Muñoz and P. Newstead, Coherent systems and Brill-Noether theory, International Journal of Mathematics, Vol. 14, 2003, 683-733.
19. M. Fernández, V. Muñoz and J. A. Santisteban, Cohomologically Kähler manifolds with no Kähler metrics, International Journal of Mathematics and Mathematical Sciences, Vol. 52, 2003, 3315- 3325.
18. V. Muñoz and F. Presas, Semipositive bundles and Brill-Noether theory, Bulletin of the London Mathematical Society, Vol. 35, 2003, 179-190.
17. V. Muñoz and F. Presas, Symplectic foliations in four-manifolds, Proceedings of the X Fall Meeting in Geometry and Physics, Publicaciones de la RSME, Vol. 4, 2002, 199-213
16. V. Muñoz, F. Presas and I. Sols, Almost holomorphic embeddings in Grassmannians with applications to singular simplectic submanifolds, 
Journal für die reine angewandte Mathematik, Vol. 547, 2002, 149-189.
15. V. Muñoz, Another proof for the presentation of the quantum cohomology of the moduli of bundles over a Riemann surface, Bulletin of the London Mathematical Society, Vol. 34, 2002, 411-414.
14. V. Muñoz, On the Gromov-Witten invariants of the moduli of bundles on a surface, Forum Mathematicum, Vol. 14, 2002, 759-774.
13. V. Muñoz, Donaldson invariants of non-simple type 4-manifolds, Topology, Vol. 41, 2002, 745-765.
12. V. Muñoz, F. Presas and I. Sols, Asymptotically holomorphic embeddings of contact manifolds in projective spaces, Contemporary Mathematics, Vol. 288, 2001, 386-390.
11. V. Muñoz, Higher type adjunction inequalities for Donaldson invariants, Transactions of the American Mathematical Society, Vol. 353, 2001, 2635-2654
10. V. Muñoz, Basic classes for four-manifolds not of simple type, Communications in Analysis and Geometry, Vol. 8, 2000, 653-670
9. V. Muñoz and I. Sols, Degree of the divisor of solutions of a differential equation on a projective variety, Communications in Algebra, Vol. 28, 2000, 5749-5768.
8. V. Muñoz, Donaldson invariants of connected sums along surfaces of genus 2, Topology and its Applications, Vol. 107, 2000, 215-232
7. V. Muñoz, Wall-crossing formulae for algebraic surfaces with positive irregularity, Journal of the London Mathematical Society (2), Vol. 61, 2000, 259-274
6. V. Muñoz, Fukaya-Floer homology of Sigma x S^1 and applications, Journal of Differential Geometry, Vol. 53, 1999, 279-326
5. V. Muñoz, Quantum cohomology of the moduli space of stable bundles, Duke Mathematical Journal, Vol. 98, 1999, 525-540
4. V. Muñoz, Ring structure of the Floer cohomology of Sigma x S^1, Topology, Vol. 38, 1999, 517-528
3. V. Muñoz, Torus rational fibrations, Journal of Pure and Applied Algebra, Vol. 140, 1999, 251-259
2. A. Garvín, L. Lechuga, V, Muñoz, A. Murillo and A. Viruel, An extension of Miller's version of the De Rham theorem with any coefficients, 
Homotopy and Geometry, Banach Center Publ. Vol. 45, 1998, 169-176
1. V. Muñoz, Gluing formulae for Donaldson invariants for connected sums along surfaces, Asian Journal of Math., Vol. 1, 1997, 785-800
 

Thesis

  V. Muñoz, Gauge Theory and Complex Manifolds, Ph.D. Thesis, Oxford University, 1996.