| 1. | (with M. Logares and P. Newstead) Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus |
|---|---|
| 2. | (with J. Fernández de Bobadilla, J. Fresán and A. Murillo) The Hilali Conjecture for hyperelliptic spaces |
| 3. | (with G. Bazzoni and M. Fernández) Non-formal co-symplectic manifolds |
| 4. | (with J. Martínez) The SU(2)-character varieties of torus knots |
| 69. | (with I. Biswas and T. Gómez) Automorphisms of moduli spaces of vector bundles over a curve To appear in Expositiones Mathematicae. |
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| 68. | (with R. Pérez-Marco) Intersection theory for ergodic solenoids To appear in the Volume "Frontiers in Complex Dynamics", Proceedings of a Conference in honor of John Milnor's 80th birthday. |
| 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 To appear in Volume "Nonlinear Analysis: Stability, Approximation and Inequalities. In honor of Th.M. Rassias 60th birthday" (eds. P. Pardalos, H.M. Srivastava, P. Georgiev). Springer. |
| 65. | (with M. Calvo) The most inaccessible point of a convex domain To appear in Forum Geometricorum. |
| 64. | (with I. Biswas and T. Gómez) Automorphisms of the moduli space of symplectic bundles To appear in International Journal of Mathematics. |
| 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 To appear in "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. |
| 58. | (with R. Pérez-Marco) Schwartzman cycles and ergodic solenoids To appear in "Essays in Mathematics and its Applications. Dedicated to Stephen Smale" (eds. P. Pardalos and Th. M. Rassias), Springer. |
| 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 |
| 18. | Formas que se deforman. La topología, RBA, Barcelona, 2011. |
|---|---|
| 17. | Integration by parts without differentiation To appear in Mathematics Magazine, Mathematical Association of America. |
| 16. | Overbooking Matemáticas para estimular el talento II. Actividades del proyecto ESTALMAT, Sociedad Andaluza de Educación Matemática Thales, 2011, 117-134. |
| 15. | La Conjetura de Hodge Volumen especial editado por RSME. Los problemas del milenio, Barcelona, 1-3 junio 2011. |
| 14. | Article in support of the European Mathematical Society |
| 13. | La EMS y su Newsletter La Gaceta de la RSME, Vol. 13, 2010, no. 1, pp. 7–14. |
| 12. | Mijail Gromov Mathematicalia, revista digital de divulgación matemática (proyecto consolider ingenio mathematica 2010), Vol. 5, no. 2 (Abril 2009) ISSN: 1699-7700. |
| 11. | (with L. Guijarro) Mikhail Gromov. Un gran geómetra que pudo ser Fields La Gaceta de la RSME, Vol. 12, 2009, no. 3, pp. 573–589. |
| 10. | Symplectic geometry Course delivered in the Encuentro Matemático Hispano-Marroquí, Casablanca (Marruecos), November 2008. |
| 9. | (Editors: Y. Eliashberg, K. Fukaya, V. Muñoz and F. Presas) Proceedings of the VII Workshop on Symplectic and Contact Topology. Held in Madrid, August 16–19, 2006. Geometriae Dedicata, Vol. 132, 2008. |
| 8. | Conjetura del Rango Toral Confèrencies FME Volum III, Curs Gauss 2005-2006, 359–379. Publicaciones de la Sociedad Catalana de Matemáticas, 2008. |
| 7. | (with U. Persson) Interviews with three Fields medalists Notices of the American Mathematical Society, Vol. 54, No. 3, 2007, 405–410. |
| 6. | (with U. Persson) Interview with Andrei Okounkov, Fields Medal, 2006 ICM Gaceta Real Sociedad Matemática Española, Vol. 9, No. 3, 2006, 655-659. |
| 5. | (with U. Persson) Interviews with three Fields medalists Newsletter of the European Mathematical Society, Vol. 62, 2006, 32-36. |
| 4. | Cien
años de la Conjetura de Poincaré La Gaceta de la RSME, Vol. 7, No. 3, 2004, 629–653. |
| 3. | La forma del Universo Ciclo de conferencias “Un paseo por la Geometría” del Departamento de Matemáticas, Universidad del País Vasco, curso 2002/2003, 121–140. http://www.rsme.es/rec/div.htm |
| 2. | Leray-Serre spectral sequence for quasi-fibrations Cubo Matemática Educacional, Vol. 5, 2003, 295–308. |
| 1. | Atiyah-Floer conjecture Supplement III Encyclopaedia of Mathematics, Academic Publishers, 2002, 46-48 |
| 5. | Homología y solenoides, Coloquio, IMUS, Sevilla, mayo 2012. |
|---|---|
| 4. | La forma del Universo, Coloquio del Centenario de la RSME, Ciudad Real, octubre 2011. |
| 3. | Moduli spaces of bundles and of pairs, 3rd Iberian Mathematical Meeting, octubre 2010. |
| 2. | Formality and symplectic geometry, Coloquio, UCLA, US, marzo 2007. |
| 1. | Geometría Kähler vs. Geometría simplética, Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA, febrero 2005. |