1. | (with J.A. Rojo) Symplectic resolution of orbifolds with homogeneous isotropy |
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2. | (with J.A. Rojo and A. Tralle) Homology Smale-Barden manifolds with K-contact and Sasakian structures |
3. | (with C.S. Shahbazi) Transversality for the moduli space of Spin(7)-instantons |
4. | (with M. Fernádez and J. Sánchez) On SO(3)-bundles over the Wolf spaces |
5. | (with A. González-Prieto and M. Logares) A lax monoidal Topological Quantum Field Theory for representation varieties |
95. | (with M. Fernández and S. Ivanov) Formality of 7-dimensional 3-Sasakian manifolds |
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94. | (with C.S. Shahbazi) Orientability of the moduli space of Spin(7)-instantons To appear in Pure and Applied Mathematics Quarterly, special issue in honor to Prof. Simon Donaldson's 60th birthday. |
93. | (with G. Bazzoni and M. Fernández) A 6-dimensional simply connected complex and symplectic manifold with no Kähler metric To appear in Journal of Symplectic Geometry. |
92. | (with M. Heusener 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. | (with G. Bazzoni, I. Biswas, M. Fernández 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. | (with G. Bazzoni and M. Fernández) Formality and the Lefschetz property in symplectic and cosymplectic geometry Complex Manifolds, Vol. 2, 2015, 53-77. |
89. | (with I. Biswas, M. Fernández and A. Tralle) On formality of Sasakian manifolds Journal of Topology, Vol. 9, No. 1, 2016, 161-180. |
88. | (with S. Lawton) E-polynomial of the SL(3,C)-character variety of free groups Pacific Journal of Mathematics, Vol. 282, No. 1, 2016, 173-202. |
87. | (with J. Martínez) E-polynomials of the SL(2,C)-character varieties of surface groups International Mathematics Research Notices, Vol. 2016, No. 3, 2016, 926-961. |
86. | (with 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. | (with J. Martínez) 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. | (with A. Tralle) Simply-connected K-contact and Sasakian manifolds of dimension 7 Mathematische Zeitschrift, Vol. 281, No. 1, 2015, 457-470. |
83. | (with 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. | (with M. Logares) 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. | (with G. Bazzoni) 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. | (with J. Martínez) The SU(2)-character varieties of torus knots Rocky Mountain Journal of Mathematics, Vol. 40, 2015, 583-602. |
79. | (with R. Pérez-Marco) Unified treatment of explicit and trace formulas via Poisson-Newton formula Communications in Mathematical Physics, Vol. 336, 2015, 1201-1230. |
78. | (with G. Bazzoni and M. Fernández) Non-formal co-symplectic manifolds Transactions of the American Mathematical Society, Vol. 367, 2015, 4459-4481. |
77. |
On rotation of complex structures
Journal of Geometry and Physics, Vol. 87, 2015, 344-353. |
76. |
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. | (with R. Pérez-Marco) On the genus of meromorphic functions Proceedings of the American Mathematical Society, Vol. 143, 2015, 341-351. |
74. | (with 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. | (with A.G. Escribano, A.B. Ventre-Lespiauq, C. Granado-Yela,
A. López-Pintor, J.A. Delgado, G.A. Dorado 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. | (with M. Logares 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 and J. Sánchez) Equivariant vector bundles and logarithmic connections on toric varieties Journal of Algebra, Vol. 384, 2013, 227-241. |
70. | (with J. Fernández de Bobadilla, J. Fresán 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. | (with I. Biswas and T. Gómez) Automorphisms of moduli spaces of vector bundles over a curve Expositiones Mathematicae, Vol. 31, 2013, 73-86. |
68. | (with 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. | (with I. Biswas and T. Gómez) Rationality and Brauer group of a moduli space of framed bundles Tbilisi Mathematical Journal, Vol. 4, 2011, 31-38. |
66. | (with I. Biswas and M. Logares) Rationality of the moduli spaces of pairs Nonlinear Analysis, Vol. 68, 2012, Springer Optimization, 65-77. |
65. | (with M. Calvo) The most inaccessible point of a convex domain Forum Geometricorum, Vol. 13, 2013, 37-52. |
64. | (with I. Biswas and T. Gómez) Automorphisms of the moduli space of symplectic bundles International Journal of Mathematics, Vol. 23, 2012, 125-152. |
63. | (with I. Biswas and M. Logares) Brauer group of moduli spaces of pairs Communications in Algebra, Vol. 40, 2012, 1605-1617. |
62. | (with R. Pérez-Marco) Ergodic solenoidal homology: Realization theorem Communications in Mathematical Physics, Vol. 302, 2011, 737-753. |
61. | (with G. Bazzoni) Classification of minimal algebras over any field up to dimension 6 Transactions of the American Mathematical Society, Vol. 364, 2012, 1007-1028. |
60. | (with R. Pérez-Marco) Ergodic solenoids and generalized currents Revista Matemática Complutense, Vol. 24, 2011, 493-525. |
59. | (with 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. | (with 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. | (with 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. | (with 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. | Hodge
structures of the moduli space of pairs International Journal of Mathematics, Vol. 21, 2010, no. 11, 1505-1529. |
54. | (with I. Biswas and T.L. Gómez) Torelli theorem for the moduli space of framed bundles Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 148, 2010, no. 3, 409-423. |
53. | (with S. Bradlow, O. García-Prada, V. Mercat 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. | (with I. Biswas) 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. | (with 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. | (with D. Ortega y 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. | (with O. García-Prada, M. Logares) 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. | The SL(2,C)-character varieties of torus knots Revista Matemática Complutense, Vol. 22, no. 2, 2009, 489-497. |
47. | Torelli theorem for the moduli spaces of pairs Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 146, no. 3, 2009, 675-693. |
46. | (with I. Biswas) 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. | (with M. Fernández, S. Ivanov 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. | Hodge polynomials of the moduli spaces of rank 3 pairs Geometriae Dedicata, Vol. 136, 2008, 17-46. |
43. | (with M. Fernández) An 8-dimensional non-formal simply connected symplectic manifold Annals of Mathematics (2) Vol. 167, no. 3, 2008, 1045-1054. |
42. | (with G. Cavalcanti, M. Fernández) 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. | (with G. Cavalcanti, M. Fernández) Symplectic resolutions, Lefschetz property and formality Advances in Mathematics, Vol. 218, no. 2, 2008, 576-599. |
40. | (with I. Biswas) 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. |
(with M. Fernández) Erratum: Formality of Donaldson submanifolds [Math. Z. 250 (2005), no. 1, 149- 175]. Mathematische Zeitschrift, Vol. 257, 2007, 465-466. |
38. | (with 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. | (with S.B. Bradlow, O. García Prada, V. Mercat 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. | (with I. Biswas) Torelli theorem for the moduli spaces of connections on a Riemann surface Topology, Vol. 46, 2007, 295-317. |
35. | (with O. García Prada, P. Gothen) Betti numbers of the moduli space of rank 3 parabolic Higgs bundles Memoirs of the American Mathematical Society, Vol. 187, 2007. |
34. | (with M. Fernández and L. Ugarte) Weakly Lefschetz symplectic manifolds Transactions of the American Mathematical Society, Vol. 359, 2007, 1851-1873. |
33. | (with M. Fernández) 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. | (with D. Auroux and F. Presas) Lagrangian submanifolds and symplectic Lefschetz pencils Journal of Symplectic Geometry, Vol. 3, No. 2, 2005, 173-221. |
31. | (with M. Fernández and L. Ugarte) The d\delta-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. | (with 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. | (with M. Fernández) 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. | (with M. Fernández) 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. | (with M. Fernández) Formality of Donaldson submanifolds Mathematische Zeitschrift, Vol. 250, 2005, 149-175. |
26. | (with O. Calvo and F. Presas) Codimension one symplectic foliations Revista Iberoamericana Matem´atica, Vol. 21, No. 1, 2005, 25-46. |
25. | (with M. Fernández) 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. | (with J. Amorós and F. Presas) Generic behavior of asymptotically holomorphic Lefschetz pencils Journal of Symplectic Geometry, Vol. 2, No. 3, 2004, 377-392. |
23. | (with M. Fernández) On non-formal simply connected manifolds Topology and its Applications, Vol. 135, 2004, 111-117 |
22. | (with M. Fernández 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. | (with D. Martínez 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. | (with S. Bradlow, O. García-Prada and P. Newstead) Coherent systems and Brill-Noether theory International Journal of Mathematics, Vol. 14, 2003, 683-733. |
19. | (with M. Fernández and J. A. Santisteban) Cohomologically Kähler manifolds with no Kähler metrics International Journal of Mathematics and Mathematical Sciences, Vol. 52, 2003, 3315- 3325. |
18. | (with F. Presas) Semipositive bundles and Brill-Noether theory Bulletin of the London Mathematical Society, Vol. 35, 2003, 179-190. |
17. | (with 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. | (with 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. | 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. | On the Gromov-Witten invariants of the moduli of bundles on a surface Forum Mathematicum, Vol. 14, 2002, 759-774. |
13. | Donaldson invariants of non-simple type 4-manifolds Topology, Vol. 41, 2002, 745-765. |
12. | (with F.Presas and I.Sols) Asymptotically holomorphic embeddings of contact manifolds in projective spaces Contemporary Mathematics, Vol. 288, 2001, 386-390. |
11. | Higher type adjunction inequalities for Donaldson invariants Transactions of the American Mathematical Society, Vol. 353, 2001, 2635-2654 |
10. | Basic classes for four-manifolds not of simple type Communications in Analysis and Geometry, Vol. 8, 2000, 653-670 |
9. | (with 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. | Donaldson invariants of connected sums along surfaces of genus 2 Topology and its Applications, Vol. 107, 2000, 215-232 |
7. | Wall-crossing formulae for algebraic surfaces with positive irregularity Journal of the London Mathematical Society (2), Vol. 61, 2000, 259-274 |
6. | Fukaya-Floer homology of \Sigma x S^1 and applications Journal of Differential Geometry, Vol. 53, 1999, 279-326 |
5. | Quantum cohomology of the moduli space of stable bundles Duke Mathematical Journal, Vol. 98, 1999, 525-540 |
4. | Ring structure of the Floer cohomology of \Sigma x S^1 Topology, Vol. 38, 1999, 517-528 |
3. | Torus rational fibrations Journal of Pure and Applied Algebra, Vol. 140, 1999, 251-259 |
2. | (with A. Garvín, L. Lechuga, 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. | Gluing formulae for Donaldson invariants for connected sums along surfaces Asian Journal of Math., Vol. 1, 1997, 785-800 |