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García-Prada, Oscar

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Author ID: garcia-prada.oscar Recent zbMATH articles by "García-Prada, Oscar"
Published as: García-Prada, Oscar; García-Prada, O.; Garcia-Prada, Oscar; García Prada, Oscar; García-Prada, Óscar; Prada, Óscar García
Documents Indexed: 86 Publications since 1988, including 7 Books
Reviewing Activity: 18 Reviews
all top 5

Serials

6 Geometriae Dedicata
5 The Quarterly Journal of Mathematics
4 Communications in Mathematical Physics
4 Journal of Geometry and Physics
4 International Journal of Mathematics
3 Illinois Journal of Mathematics
3 Mathematische Annalen
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Topology
2 The Asian Journal of Mathematics
2 Geometry & Topology
2 La Gaceta de la Real Sociedad Matemática Española
2 London Mathematical Society Lecture Note Series
2 Journal of Topology
1 Communications in Algebra
1 Journal of Mathematical Physics
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Notices of the American Mathematical Society
1 Communications in Analysis and Geometry
1 Mathematical Research Letters
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 IMRP. International Mathematics Research Papers
1 Pure and Applied Mathematics Quarterly
1 Contemporary Mathematics
1 Journal de l’École Polytechnique – Mathématiques

Publications by Year

Citations contained in zbMATH Open

73 Publications have been cited 786 times in 331 Documents Cited by Year
A direct existence proof for the vortex equation over a compact Riemann surface. Zbl 0807.53021
García-Prada, Oscar
50
1994
Dimensional reduction of stable bundles, vortices and stable pairs. Zbl 0799.32022
García-Prada, Oscar
48
1994
Stable triples, equivariant bundles and dimensional reduction. Zbl 0852.32016
Bradlow, Steven B.; García-Prada, Oscar
45
1996
Surface group representations and \(U(p,q)\)-Higgs bundles. Zbl 1070.53054
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
43
2003
Coherent systems and Brill-Noether theory. Zbl 1057.14041
Bradlow, S. B.; García-Prada, O.; Muñoz, V.; Newstead, P. E.
37
2003
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
37
2006
Hitchin-Kobayashi correspondence, quivers, and vortices. Zbl 1051.53018
Álvarez-Cónsul, Luis; García-Prada, Oscar
36
2003
Invariant connections and vortices. Zbl 0790.53031
García-Prada, Oscar
32
1993
Higgs bundles and surface group representations in the real symplectic group. Zbl 1303.14043
García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
32
2013
Dimensional reduction, SL\((2,\mathbb C)\)-equivariant bundles and stable holomorphic chains. Zbl 1110.32305
Álvarez-Cónsul, Luis; García-Prada, Oscar
28
2001
Relative Hitchin-Kobayashi correspondences for principal pairs. Zbl 1064.53056
Bradlow, Steven B.; García-Prada, Oscar; Mundet i Riera, Ignasi
27
2003
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
27
2004
Dimensional reduction and quiver bundles. Zbl 1020.53047
Álvarez-Cónsul, Luis; García-Prada, Oscar
26
2003
On the motives of moduli of chains and Higgs bundles. Zbl 1316.14060
García-Prada, Oscar; Heinloth, Jochen; Schmitt, Alexander
26
2014
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
Bradlow, Steven B.; Daskalopoulos, Georgios D.; García-Prada, Oscar; Wentworth, Richard
20
1995
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
15
2008
Higgs bundles, the Toledo invariant and the Cayley correspondence. Zbl 1393.14032
Biquard, Olivier; García-Prada, Oscar; Rubio, Roberto
13
2017
Deformations of maximal representations in \(\mathrm{Sp}(4, \mathbb R)\). Zbl 1261.14018
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
13
2012
On the geometry of moduli spaces of coherent systems on algebraic curves. Zbl 1117.14034
Bradlow, S. B.; García-Prada, O.; Mercat, V.; Muñoz, V.; Newstead, P. E.
12
2007
The \(y\)-genus of the moduli space of \(\mathrm{PGL}_n\)-Higgs bundles on a curve (for degree coprime to \(n\)). Zbl 1300.14013
García-Prada, Oscar; Heinloth, Jochen
12
2013
Non-Abelian monopoles and vortices. Zbl 0870.57038
Bradlow, Steven B.; García-Prada, Oscar
11
1997
Connectedness of Higgs bundle moduli for complex reductive Lie groups. Zbl 1387.14048
García-Prada, Oscar; Oliveira, André
11
2017
An application of coherent systems to a Brill-Noether problem. Zbl 1014.14012
Bradlow, Steven B.; García-Prada, Oscar
10
2002
Representations of the fundamental group of a closed oriented surface in Sp(\(4,\mathbb R\)). Zbl 1070.14014
García-Prada, O.; Mundet i Riera, I.
10
2004
On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces. Zbl 1111.32012
Álvarez-Cónsul, L.; García-Prada, O.; Schmitt, A. H. W.
10
2006
Pseudo-real principal Higgs bundles on compact Kähler manifolds. (Fibrés principaux pseudo-réels sur une variété kählérienne.) Zbl 1329.14106
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
9
2014
Moduli spaces of coherent systems of small slope on algebraic curves. Zbl 1189.14040
Bradlow, S. B.; García-Prada, Oscar; Mercat, Vincent; Muñoz, Vicente; Newstead, P. E.
8
2009
Coupled equations for Kähler metrics and Yang-Mills connections. Zbl 1275.32019
Álvarez-Cónsul, Luis; García-Fernández, Mario; García-Prada, Oscar
7
2013
Higgs bundles over elliptic curves. Zbl 1387.14094
Franco, Emilio; Garcia-Prada, Oscar; Newstead, P. E.
7
2014
Anti-holomorphic involutions of the moduli spaces of Higgs bundles. (Involutions anti-holomorphes des espaces de modules de fibrés de Higgs.) Zbl 1333.14032
Biswas, Indranil; García-Prada, Oscar
7
2015
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
6
2015
Twisted Higgs bundles and the fundamental group of compact Kähler manifolds. Zbl 1003.53026
García-Prada, O.; Ramanan, S.
5
2000
Representations of the fundamental group of a surface in \(\text{PU}(p,q)\) and holomorphic triples. Zbl 0991.32012
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
5
2001
Representations of surface groups in the general linear group. Zbl 1074.14010
Bradlow, S. B.; García-Prada, O.; Gothen, P. B.
5
2004
Moduli spaces of parabolic \(U(p, q)\)-Higgs bundles. Zbl 1170.14024
García-Prada, O.; Logares, M.; Muñoz, Vicente
5
2009
Higgs bundles and surface group representations. Zbl 1187.14037
García-Prada, Oscar
5
2009
Higgs bundles for the Lorentz group. Zbl 1273.14026
Arroyo, Marta Aparicio; García-Prada, Oscar
5
2011
Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations. Zbl 1361.53021
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar
5
2017
Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group. Zbl 1451.14111
Biquard, Olivier; García-Prada, Oscar; Mundet i Riera, Ignasi
5
2020
Seiberg-Witten invariants and vortex equations. Zbl 0941.53002
García-Prada, Oscar
4
1998
Higher cohomology triples and holomorphic extensions. Zbl 0919.32017
Bradlow, Steven B.; García-Prada, Oscar
4
1995
A Hitchin-Kobayashi correspondence for coherent systems on Riemann surfaces. Zbl 0954.32014
Bradlow, Steven B.; García-Prada, Oscar
4
1999
Higgs bundles for the non-compact dual of the unitary group. Zbl 1274.14008
García-Prada, Oscar; Oliveira, André G.
4
2011
Pseudo-real principal \(G\)-bundles over a real curve. Zbl 1352.14039
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
4
2016
Exotic components of \(\mathrm{SO}(p, q)\) surface group representations, and their Higgs bundle avatars. (Composantes exotiques des variétés de représentations du groupe fondamental d’une surface dans \(\mathrm{SO}(p, q)\) et les fibrés de Higgs correspondants.) Zbl 1390.14040
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2018
\(\text{SO}(p,q)\)-Higgs bundles and higher Teichmüller components. Zbl 07101798
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2019
Locally operating realizations of nonconnected transformation Lie groups. Zbl 0646.22007
García-Prada, Oscar; Del Olmo, Mariano A.; Santander, Mariano
3
1988
Higgs bundles for real groups and the Hitchin-Kostant-Rallis section. Zbl 1395.14029
García-Prada, Oscar; Peón-Nieto, Ana; Ramanan, S.
3
2018
Involutions of rank 2 Higgs bundle moduli spaces. Zbl 1420.14073
García-Prada, Oscar; Ramanan, S.
3
2018
Involutions and higher order automorphisms of Higgs bundle moduli spaces. Zbl 1427.14068
García-Prada, Oscar; Ramanan, S.
3
2019
Parabolic vortex equations and instantons of infinite energy. Zbl 0882.32013
Biquard, Olivier; García-Prada, Oscar
2
1997
Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves. Zbl 1083.14036
García-Prada, Oscar; Hernández Ruipérez, Daniel; Pioli, Fabio; Tejero Prieto, Carlos
2
2005
A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space. Zbl 1227.22011
García-Prada, Oscar; Toledo, Domingo
2
2011
Principal co-Higgs bundles on \(\mathbb{P}^1\). Zbl 1437.14041
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques; Rayan, Steven
2
2020
Connectedness of the moduli of \(\mathrm{Sp}(2p,2q)\)-Higgs bundles. Zbl 1304.14015
García-Prada, Oscar; Oliveira, André G.
2
2014
Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles. Zbl 1428.14057
Biswas, Indranil; Calvo, Luis Angel; Franco, Emilio; García-Prada, Oscar
2
2019
On the Kähler-Yang-Mills-Higgs equations. Zbl 07182266
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar
2
2019
Higgs bundles and higher Teichmüller spaces. Zbl 1446.30072
Prada, Óscar García
2
2020
Where does geometry go? A research and education perspective. Zbl 1005.53002
Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha
1
2001
A Higgs bundle on a Hermitian symmetric space. Zbl 1138.32011
Biswas, Indranil; García-Prada, Oscar
1
2007
What is \(\dots\) a Higgs bundle? Zbl 1439.53025
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
1
2007
Moduli spaces and vector bundles. A tribute to Peter Newstead. Zbl 1167.14001
Brambila-Paz, Leticia (ed.); Bradlow, Steven B. (ed.); García-Prada, Oscar (ed.); Ramanan, S. (ed.)
1
2009
The many facets of geometry. A tribute to Nigel Hitchin. Zbl 1192.00076
García-Prada, Oscar (ed.); Bourguignon, Jean Pierre (ed.); Salamon, Simon (ed.)
1
2010
Moduli spaces. Based on lectures of a programme on moduli spaces at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 4 – July 1, 2011. Zbl 1286.14002
Brambila-Paz, Leticia (ed.); García-Prada, Oscar (ed.); Newstead, Peter (ed.); Thomas, Richard P. (ed.)
1
2014
A Tannakian approach to dimensional reduction of principal bundles. Zbl 1367.53024
Álvarez-Cónsul, Luis; Biswas, Indranil; García-Prada, Oscar
1
2017
Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Zbl 1408.14005
Andersen, Jørgen Ellegaard (ed.); Dancer, Andrew (ed.); García-Prada, Oscar (ed.)
1
2018
Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 2. Zbl 1401.14004
Andersen, Jørgen Ellegaard (ed.); Dancer, Andrew (ed.); García-Prada, Oscar (ed.)
1
2018
Higgs bundles, branes and Langlands duality. Zbl 1410.14046
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
1
2019
Higgs bundles over elliptic curves for real groups. Zbl 1419.14050
Franco, Emilio; García-Prada, Oscar; Newstead, P. E.
1
2019
Irreducibility of moduli of semi-stable chains and applications to \(\mathsf{U}(p, q)\)-Higgs bundles. Zbl 1428.14058
Bradlow, Steven; García-Prada, Oscar; Gothen, Peter; Heinloth, Jochen
1
2018
Higgs bundles over elliptic curves for complex reductive groups. Zbl 1433.14028
Franco, Emilio; Garcia-Prada, Oscar; Newstead, P. E.
1
2019
Action of the mapping class group on character varieties and Higgs bundles. Zbl 1451.14108
Garcia-Prada, Oscar; Wilkin, Graeme
1
2020
Gravitating vortices and the Einstein-Bogomol’nyi equations. Zbl 1464.30008
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar; Pingali, Vamsi Pritham
1
2021
Gravitating vortices and the Einstein-Bogomol’nyi equations. Zbl 1464.30008
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar; Pingali, Vamsi Pritham
1
2021
Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group. Zbl 1451.14111
Biquard, Olivier; García-Prada, Oscar; Mundet i Riera, Ignasi
5
2020
Principal co-Higgs bundles on \(\mathbb{P}^1\). Zbl 1437.14041
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques; Rayan, Steven
2
2020
Higgs bundles and higher Teichmüller spaces. Zbl 1446.30072
Prada, Óscar García
2
2020
Action of the mapping class group on character varieties and Higgs bundles. Zbl 1451.14108
Garcia-Prada, Oscar; Wilkin, Graeme
1
2020
\(\text{SO}(p,q)\)-Higgs bundles and higher Teichmüller components. Zbl 07101798
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2019
Involutions and higher order automorphisms of Higgs bundle moduli spaces. Zbl 1427.14068
García-Prada, Oscar; Ramanan, S.
3
2019
Involutions of Higgs moduli spaces over elliptic curves and pseudo-real Higgs bundles. Zbl 1428.14057
Biswas, Indranil; Calvo, Luis Angel; Franco, Emilio; García-Prada, Oscar
2
2019
On the Kähler-Yang-Mills-Higgs equations. Zbl 07182266
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar
2
2019
Higgs bundles, branes and Langlands duality. Zbl 1410.14046
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
1
2019
Higgs bundles over elliptic curves for real groups. Zbl 1419.14050
Franco, Emilio; García-Prada, Oscar; Newstead, P. E.
1
2019
Higgs bundles over elliptic curves for complex reductive groups. Zbl 1433.14028
Franco, Emilio; Garcia-Prada, Oscar; Newstead, P. E.
1
2019
Exotic components of \(\mathrm{SO}(p, q)\) surface group representations, and their Higgs bundle avatars. (Composantes exotiques des variétés de représentations du groupe fondamental d’une surface dans \(\mathrm{SO}(p, q)\) et les fibrés de Higgs correspondants.) Zbl 1390.14040
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
4
2018
Higgs bundles for real groups and the Hitchin-Kostant-Rallis section. Zbl 1395.14029
García-Prada, Oscar; Peón-Nieto, Ana; Ramanan, S.
3
2018
Involutions of rank 2 Higgs bundle moduli spaces. Zbl 1420.14073
García-Prada, Oscar; Ramanan, S.
3
2018
Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Zbl 1408.14005
Andersen, Jørgen Ellegaard; Dancer, Andrew; García-Prada, Oscar
1
2018
Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 2. Zbl 1401.14004
Andersen, Jørgen Ellegaard; Dancer, Andrew; García-Prada, Oscar
1
2018
Irreducibility of moduli of semi-stable chains and applications to \(\mathsf{U}(p, q)\)-Higgs bundles. Zbl 1428.14058
Bradlow, Steven; García-Prada, Oscar; Gothen, Peter; Heinloth, Jochen
1
2018
Higgs bundles, the Toledo invariant and the Cayley correspondence. Zbl 1393.14032
Biquard, Olivier; García-Prada, Oscar; Rubio, Roberto
13
2017
Connectedness of Higgs bundle moduli for complex reductive Lie groups. Zbl 1387.14048
García-Prada, Oscar; Oliveira, André
11
2017
Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations. Zbl 1361.53021
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar
5
2017
A Tannakian approach to dimensional reduction of principal bundles. Zbl 1367.53024
Álvarez-Cónsul, Luis; Biswas, Indranil; García-Prada, Oscar
1
2017
Pseudo-real principal \(G\)-bundles over a real curve. Zbl 1352.14039
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
4
2016
Anti-holomorphic involutions of the moduli spaces of Higgs bundles. (Involutions anti-holomorphes des espaces de modules de fibrés de Higgs.) Zbl 1333.14032
Biswas, Indranil; García-Prada, Oscar
7
2015
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
6
2015
On the motives of moduli of chains and Higgs bundles. Zbl 1316.14060
García-Prada, Oscar; Heinloth, Jochen; Schmitt, Alexander
26
2014
Pseudo-real principal Higgs bundles on compact Kähler manifolds. (Fibrés principaux pseudo-réels sur une variété kählérienne.) Zbl 1329.14106
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques
9
2014
Higgs bundles over elliptic curves. Zbl 1387.14094
Franco, Emilio; Garcia-Prada, Oscar; Newstead, P. E.
7
2014
Connectedness of the moduli of \(\mathrm{Sp}(2p,2q)\)-Higgs bundles. Zbl 1304.14015
García-Prada, Oscar; Oliveira, André G.
2
2014
Moduli spaces. Based on lectures of a programme on moduli spaces at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 4 – July 1, 2011. Zbl 1286.14002
Brambila-Paz, Leticia; García-Prada, Oscar; Newstead, Peter; Thomas, Richard P.
1
2014
Higgs bundles and surface group representations in the real symplectic group. Zbl 1303.14043
García-Prada, O.; Gothen, P. B.; Mundet i Riera, I.
32
2013
The \(y\)-genus of the moduli space of \(\mathrm{PGL}_n\)-Higgs bundles on a curve (for degree coprime to \(n\)). Zbl 1300.14013
García-Prada, Oscar; Heinloth, Jochen
12
2013
Coupled equations for Kähler metrics and Yang-Mills connections. Zbl 1275.32019
Álvarez-Cónsul, Luis; García-Fernández, Mario; García-Prada, Oscar
7
2013
Deformations of maximal representations in \(\mathrm{Sp}(4, \mathbb R)\). Zbl 1261.14018
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
13
2012
Higgs bundles for the Lorentz group. Zbl 1273.14026
Arroyo, Marta Aparicio; García-Prada, Oscar
5
2011
Higgs bundles for the non-compact dual of the unitary group. Zbl 1274.14008
García-Prada, Oscar; Oliveira, André G.
4
2011
A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space. Zbl 1227.22011
García-Prada, Oscar; Toledo, Domingo
2
2011
The many facets of geometry. A tribute to Nigel Hitchin. Zbl 1192.00076
García-Prada, Oscar; Bourguignon, Jean Pierre; Salamon, Simon
1
2010
Moduli spaces of coherent systems of small slope on algebraic curves. Zbl 1189.14040
Bradlow, S. B.; García-Prada, Oscar; Mercat, Vincent; Muñoz, Vicente; Newstead, P. E.
8
2009
Moduli spaces of parabolic \(U(p, q)\)-Higgs bundles. Zbl 1170.14024
García-Prada, O.; Logares, M.; Muñoz, Vicente
5
2009
Higgs bundles and surface group representations. Zbl 1187.14037
García-Prada, Oscar
5
2009
Moduli spaces and vector bundles. A tribute to Peter Newstead. Zbl 1167.14001
Brambila-Paz, Leticia; Bradlow, Steven B.; García-Prada, Oscar; Ramanan, S.
1
2009
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
15
2008
On the geometry of moduli spaces of coherent systems on algebraic curves. Zbl 1117.14034
Bradlow, S. B.; García-Prada, O.; Mercat, V.; Muñoz, V.; Newstead, P. E.
12
2007
A Higgs bundle on a Hermitian symmetric space. Zbl 1138.32011
Biswas, Indranil; García-Prada, Oscar
1
2007
What is \(\dots\) a Higgs bundle? Zbl 1439.53025
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
1
2007
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
37
2006
On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces. Zbl 1111.32012
Álvarez-Cónsul, L.; García-Prada, O.; Schmitt, A. H. W.
10
2006
Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves. Zbl 1083.14036
García-Prada, Oscar; Hernández Ruipérez, Daniel; Pioli, Fabio; Tejero Prieto, Carlos
2
2005
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
27
2004
Representations of the fundamental group of a closed oriented surface in Sp(\(4,\mathbb R\)). Zbl 1070.14014
García-Prada, O.; Mundet i Riera, I.
10
2004
Representations of surface groups in the general linear group. Zbl 1074.14010
Bradlow, S. B.; García-Prada, O.; Gothen, P. B.
5
2004
Surface group representations and \(U(p,q)\)-Higgs bundles. Zbl 1070.53054
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
43
2003
Coherent systems and Brill-Noether theory. Zbl 1057.14041
Bradlow, S. B.; García-Prada, O.; Muñoz, V.; Newstead, P. E.
37
2003
Hitchin-Kobayashi correspondence, quivers, and vortices. Zbl 1051.53018
Álvarez-Cónsul, Luis; García-Prada, Oscar
36
2003
Relative Hitchin-Kobayashi correspondences for principal pairs. Zbl 1064.53056
Bradlow, Steven B.; García-Prada, Oscar; Mundet i Riera, Ignasi
27
2003
Dimensional reduction and quiver bundles. Zbl 1020.53047
Álvarez-Cónsul, Luis; García-Prada, Oscar
26
2003
An application of coherent systems to a Brill-Noether problem. Zbl 1014.14012
Bradlow, Steven B.; García-Prada, Oscar
10
2002
Dimensional reduction, SL\((2,\mathbb C)\)-equivariant bundles and stable holomorphic chains. Zbl 1110.32305
Álvarez-Cónsul, Luis; García-Prada, Oscar
28
2001
Representations of the fundamental group of a surface in \(\text{PU}(p,q)\) and holomorphic triples. Zbl 0991.32012
Bradlow, Steven B.; García-Prada, Oscar; Gothen, Peter B.
5
2001
Where does geometry go? A research and education perspective. Zbl 1005.53002
Bourguignon, Jean-Pierre; Calabi, Eugenio; Eells, James; García-Prada, Oscar; Gromov, Misha
1
2001
Twisted Higgs bundles and the fundamental group of compact Kähler manifolds. Zbl 1003.53026
García-Prada, O.; Ramanan, S.
5
2000
A Hitchin-Kobayashi correspondence for coherent systems on Riemann surfaces. Zbl 0954.32014
Bradlow, Steven B.; García-Prada, Oscar
4
1999
Seiberg-Witten invariants and vortex equations. Zbl 0941.53002
García-Prada, Oscar
4
1998
Non-Abelian monopoles and vortices. Zbl 0870.57038
Bradlow, Steven B.; García-Prada, Oscar
11
1997
Parabolic vortex equations and instantons of infinite energy. Zbl 0882.32013
Biquard, Olivier; García-Prada, Oscar
2
1997
Stable triples, equivariant bundles and dimensional reduction. Zbl 0852.32016
Bradlow, Steven B.; García-Prada, Oscar
45
1996
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
Bradlow, Steven B.; Daskalopoulos, Georgios D.; García-Prada, Oscar; Wentworth, Richard
20
1995
Higher cohomology triples and holomorphic extensions. Zbl 0919.32017
Bradlow, Steven B.; García-Prada, Oscar
4
1995
A direct existence proof for the vortex equation over a compact Riemann surface. Zbl 0807.53021
García-Prada, Oscar
50
1994
Dimensional reduction of stable bundles, vortices and stable pairs. Zbl 0799.32022
García-Prada, Oscar
48
1994
Invariant connections and vortices. Zbl 0790.53031
García-Prada, Oscar
32
1993
Locally operating realizations of nonconnected transformation Lie groups. Zbl 0646.22007
García-Prada, Oscar; Del Olmo, Mariano A.; Santander, Mariano
3
1988
all top 5

Cited by 278 Authors

32 García-Prada, Oscar
27 Biswas, Indranil
19 Newstead, Peter E.
12 Bradlow, Steven B.
12 Zhang, Xi
11 Muñoz Velázquez, Vicente
10 Gothen, Peter B.
9 Popov, Alexander D.
8 Collier, Brian
7 Arango Florentino, Carlos Armindo
7 Oliveira, André G.
7 Lange, Herbert
7 Rayan, Steven
7 Zhang, Chuanjing
6 Baptista, Joao M.
6 Szabo, Richard J.
5 Álvarez-Cónsul, Luis
5 Brambila-Paz, Gloria Leticia
5 Brivio, Sonia
5 Diaconescu, Duiliu-Emanuel
5 Franco, Emilio
5 Garcia-Fernandez, Mario
5 Logares, Marina
5 Pingali, Vamsi Pritham
5 Schaposnik, Laura P.
5 Wienhard, Anna Katharina
4 Ballico, Edoardo
4 Bhosle, Usha N.
4 Burger, Marc
4 Iozzi, Alessandra
4 Kim, Inkang
4 Labourie, François
4 Li, Jiayu
4 Manton, Nicholas S.
4 Mercat, Vincent
4 Nozad, Azizeh
4 Rink, Norman A.
4 Romão, Nuno M.
4 Teixidor i Bigas, Montserrat
3 Arroyo, Marta Aparicio
3 Baraglia, David
3 del Olmo, Mariano A.
3 Geipel, Jakob C.
3 Heinloth, Jochen
3 Hitching, George H.
3 Huang, Pengfei
3 Hurtubise, Jacques C.
3 Kydonakis, Georgios
3 Lawton, Sean
3 Lechtenfeld, Olaf
3 Loftin, John C.
3 Maubon, Julien
3 Mozgovoy, Sergey
3 Negro, Javier
3 Schmitt, Alexander H. W.
3 Stemmler, Matthias
3 Theriault, Stephen D.
3 Wentworth, Richard A.
3 Yang, Yisong
3 Zhang, Pan
2 Anderson, Lara B.
2 Biquard, Olivier
2 Bridgeman, Martin J.
2 Bullimore, Mathew Richard
2 Canary, Richard D.
2 Cheng, Da Rong
2 Dalakov, Peter
2 Dey, Rukmini
2 Donagi, Ron Y.
2 Favale, Filippo Francesco
2 Ferrari, Andrea E. V.
2 Glazebrook, James F.
2 Grzegorczyk, Iwona
2 Guichard, Olivier
2 Hausel, Tamás
2 Hernández Ruipérez, Daniel
2 Hoff, Michael
2 Hoskins, Victoria
2 Hu, Zhi
2 Huh, Sukmoon
2 Jardim, Marcos
2 Kamber, Franz W.
2 Keller, Julien
2 Kim, Bumsig
2 Koziarz, Vincent
2 Li, Qiongling
2 Mata-Gutiérrez, Osbaldo
2 Mundet i Riera, Ignasi
2 Pansu, Pierre
2 Pantev, Tony G.
2 Pasotti, Stefano
2 Peón Nieto, Ana
2 Prantil, Francesco
2 Pustetto, Andrea
2 Sambarino, Andrés
2 Schiffmann, Olivier G.
2 Schumacher, Georg
2 Sergeev, Armen Glebovich
2 Spinaci, Marco
2 Sun, Hao
...and 178 more Authors
all top 5

Cited in 96 Serials

37 International Journal of Mathematics
25 Journal of Geometry and Physics
24 Geometriae Dedicata
14 Communications in Mathematical Physics
13 Journal of Mathematical Physics
12 Advances in Mathematics
9 Nuclear Physics. B
9 Mathematische Annalen
7 Transactions of the American Mathematical Society
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Letters in Mathematical Physics
6 Journal of Algebra
5 Mathematische Zeitschrift
4 Duke Mathematical Journal
4 Glasgow Mathematical Journal
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Calculus of Variations and Partial Differential Equations
4 Bulletin des Sciences Mathématiques
4 Annals of Mathematics. Second Series
4 Journal of High Energy Physics
3 Communications in Algebra
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Illinois Journal of Mathematics
3 Inventiones Mathematicae
3 Manuscripta Mathematica
3 The Journal of Geometric Analysis
3 Selecta Mathematica. New Series
3 Geometry & Topology
3 Revista Matemática Complutense
3 Central European Journal of Mathematics
3 Communications in Mathematics and Statistics
3 Journal de l’École Polytechnique – Mathématiques
2 Journal of Mathematical Analysis and Applications
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Collectanea Mathematica
2 Compositio Mathematica
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Differential Geometry and its Applications
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Journal of the European Mathematical Society (JEMS)
2 Algebraic & Geometric Topology
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Geometric Methods in Modern Physics
2 Proceedings of the Steklov Institute of Mathematics
2 European Journal of Mathematics
2 Complex Manifolds
1 Modern Physics Letters A
1 General Relativity and Gravitation
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 Archiv der Mathematik
1 Publications Mathématiques
1 Journal of Pure and Applied Algebra
1 Mathematica Scandinavica
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Tohoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Science in China. Series A
1 Expositiones Mathematicae
1 Journal of Knot Theory and its Ramifications
1 Journal of Algebraic Geometry
1 Arab Journal of Mathematical Sciences
1 Documenta Mathematica
1 Conformal Geometry and Dynamics
1 Taiwanese Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Advances in Geometry
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 Journal of Fixed Point Theory and Applications
1 Journal of Topology and Analysis
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 Arabian Journal of Mathematics
1 Research in the Mathematical Sciences

Citations by Year