# zbMATH — the first resource for mathematics

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 Documents Indexed: 43 Publications since 1990, including 3 Books Reviewing Activity: 25 Reviews
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#### Co-Authors

 5 single-authored 24 García-Prada, Oscar 12 Gothen, Peter B. 4 Daskalopoulos, Georgios D. 4 Glazebrook, James F. 4 Kamber, Franz W. 4 Newstead, Peter E. 3 Biswas, Indranil 3 Muñoz Velázquez, Vicente 2 Arroyo, Marta Aparicio 2 Collier, Brian 2 Oliveira, André G. 2 Gómez, Tomás L. 2 Jacob, Adam 2 Mercat, Vincent 2 Stemmler, Matthias 2 Wentworth, Richard A. 1 Álvarez-Cónsul, Luis 1 Apanasov, Boris Nikolaevich 1 Brambila-Paz, Gloria Leticia 1 Ebenfelt, Peter 1 Heinloth, Jochen 1 Mundet i Riera, Ignasi 1 Ramanan, Sundararaman 1 Rodrigues, Waldyr Alves jun. 1 Schaposnik, Laura P. 1 Tyson, Jeremy T. 1 Uhlenbeck, Karen Keskulla 1 Varolin, Dror 1 Wilkin, Graeme
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#### Serials

 6 International Journal of Mathematics 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Journal of Differential Geometry 2 Mathematische Annalen 2 Topology 2 The Quarterly Journal of Mathematics 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Annals of Global Analysis and Geometry 1 Differential Geometry and its Applications 1 Notices of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Contemporary Mathematics 1 London Mathematical Society Lecture Note Series 1 Journal of Fixed Point Theory and Applications 1 Research in the Mathematical Sciences
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#### Fields

 26 Algebraic geometry (14-XX) 20 Differential geometry (53-XX) 19 Several complex variables and analytic spaces (32-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 572 times in 294 Documents Cited by Year
Vortices in holomorphic line bundles over closed Kähler manifolds. Zbl 0717.53075
1990
Special metrics and stability for holomorphic bundles with global sections. Zbl 0697.32014
1991
Stable triples, equivariant bundles and dimensional reduction. Zbl 0852.32016
1996
Surface group representations and $$U(p,q)$$-Higgs bundles. Zbl 1070.53054
2003
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
2006
Coherent systems and Brill-Noether theory. Zbl 1057.14041
2003
Moduli of stable pairs for holomorphic bundles over Riemann surfaces. Zbl 0759.32013
1991
Relative Hitchin-Kobayashi correspondences for principal pairs. Zbl 1064.53056
2003
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
2004
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
1995
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
2008
Deformations of maximal representations in $$\mathrm{Sp}(4, \mathbb R)$$. Zbl 1261.14018
2012
On the geometry of moduli spaces of coherent systems on algebraic curves. Zbl 1117.14034
2007
Non-Abelian monopoles and vortices. Zbl 0870.57038
1997
Moduli of stable pairs for holomorphic bundles over Riemann surfaces. II. Zbl 0798.32020
1993
An application of coherent systems to a Brill-Noether problem. Zbl 1014.14012
2002
Birational equivalences of vortex moduli. Zbl 0856.32019
1996
Moduli spaces of coherent systems of small slope on algebraic curves. Zbl 1189.14040
2009
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
2015
Representations of the fundamental group of a surface in $$\text{PU}(p,q)$$ and holomorphic triples. Zbl 0991.32012
2001
Representations of surface groups in the general linear group. Zbl 1074.14010
2004
Coherent systems: a brief survey. with an appendix by H. Lange. Zbl 1187.14035
2009
Higgs bundles and exceptional isogenies. Zbl 1408.14112
Bradlow, Steven B.; Schaposnik, Laura P.
2016
Higher cohomology triples and holomorphic extensions. Zbl 0919.32017
1995
A Hitchin-Kobayashi correspondence for coherent systems on Riemann surfaces. Zbl 0954.32014
1999
$$\text{SO}(p,q)$$-Higgs bundles and higher Teichmüller components. Zbl 07101798
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
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
2018
A new look at the vortex equations and dimensional reduction. Zbl 0916.58003
Bradlow, Steven; Glazebrook, James; Kamber, Franz
1997
Approximate Hermitian-Einstein connections on principal bundles over a compact Riemann surface. Zbl 1280.53026
2013
Extensions of Higgs bundles. Zbl 1012.32006
Bradlow, Steven B.; Gómez, Tomás L.
2002
Hermitian-Einstein inequalities and Harder-Narasimhan filtrations. Zbl 0853.53021
1995
Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles. Zbl 0939.58008
Bradlow, Steven B.; Glazebrook, James F.; Kamber, Franz W.
1999
Morse theory, Higgs fields, and Yang-Mills-Higgs functionals. Zbl 1267.58010
2012
Automorphisms and connections on Higgs bundles over compact Kähler manifolds. Zbl 1372.53024
2014
What is $$\dots$$ a Higgs bundle? Zbl 1439.53025
2007
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
Apanasov, Boris N. (ed.); Bradlow, Steven B. (ed.); Rodrigues, Waldyr A. jun. (ed.); Uhlenbeck, Karen K. (ed.)
1997
Non-Abelian vortices and a new Yang-Mills-Higgs energy. Zbl 0806.53028
1993
Irreducibility of moduli of semi-stable chains and applications to $$\mathsf{U}(p, q)$$-Higgs bundles. Zbl 1428.14058
2018
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.)
2009
$$\text{SO}(p,q)$$-Higgs bundles and higher Teichmüller components. Zbl 07101798
Aparicio-Arroyo, Marta; Bradlow, Steven; Collier, Brian; García-Prada, Oscar; Gothen, Peter B.; Oliveira, André
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
2018
Irreducibility of moduli of semi-stable chains and applications to $$\mathsf{U}(p, q)$$-Higgs bundles. Zbl 1428.14058
2018
Higgs bundles and exceptional isogenies. Zbl 1408.14112
Bradlow, Steven B.; Schaposnik, Laura P.
2016
Higgs bundles for the non-compact dual of the special orthogonal group. Zbl 1314.14060
2015
Automorphisms and connections on Higgs bundles over compact Kähler manifolds. Zbl 1372.53024
2014
Approximate Hermitian-Einstein connections on principal bundles over a compact Riemann surface. Zbl 1280.53026
2013
Deformations of maximal representations in $$\mathrm{Sp}(4, \mathbb R)$$. Zbl 1261.14018
2012
Morse theory, Higgs fields, and Yang-Mills-Higgs functionals. Zbl 1267.58010
2012
Moduli spaces of coherent systems of small slope on algebraic curves. Zbl 1189.14040
2009
Coherent systems: a brief survey. with an appendix by H. Lange. Zbl 1187.14035
2009
Moduli spaces and vector bundles. A tribute to Peter Newstead. Zbl 1167.14001
2009
Homotopy groups of moduli spaces of representations. Zbl 1165.14028
2008
On the geometry of moduli spaces of coherent systems on algebraic curves. Zbl 1117.14034
2007
What is $$\dots$$ a Higgs bundle? Zbl 1439.53025
2007
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Zbl 1132.14029
2006
Moduli spaces of holomorphic triples over compact Riemann surfaces. Zbl 1041.32008
2004
Representations of surface groups in the general linear group. Zbl 1074.14010
2004
Surface group representations and $$U(p,q)$$-Higgs bundles. Zbl 1070.53054
2003
Coherent systems and Brill-Noether theory. Zbl 1057.14041
2003
Relative Hitchin-Kobayashi correspondences for principal pairs. Zbl 1064.53056
2003
An application of coherent systems to a Brill-Noether problem. Zbl 1014.14012
2002
Extensions of Higgs bundles. Zbl 1012.32006
Bradlow, Steven B.; Gómez, Tomás L.
2002
Representations of the fundamental group of a surface in $$\text{PU}(p,q)$$ and holomorphic triples. Zbl 0991.32012
2001
A Hitchin-Kobayashi correspondence for coherent systems on Riemann surfaces. Zbl 0954.32014
1999
Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles. Zbl 0939.58008
Bradlow, Steven B.; Glazebrook, James F.; Kamber, Franz W.
1999
Non-Abelian monopoles and vortices. Zbl 0870.57038
1997
A new look at the vortex equations and dimensional reduction. Zbl 0916.58003
Bradlow, Steven; Glazebrook, James; Kamber, Franz
1997
Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Zbl 0883.00022
Apanasov, Boris N.; Bradlow, Steven B.; Rodrigues, Waldyr A. jun.; Uhlenbeck, Karen K.
1997
Stable triples, equivariant bundles and dimensional reduction. Zbl 0852.32016
1996
Birational equivalences of vortex moduli. Zbl 0856.32019
1996
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
1995
Higher cohomology triples and holomorphic extensions. Zbl 0919.32017
1995
Hermitian-Einstein inequalities and Harder-Narasimhan filtrations. Zbl 0853.53021
1995
Moduli of stable pairs for holomorphic bundles over Riemann surfaces. II. Zbl 0798.32020
1993
Non-Abelian vortices and a new Yang-Mills-Higgs energy. Zbl 0806.53028
1993
Special metrics and stability for holomorphic bundles with global sections. Zbl 0697.32014
1991
Moduli of stable pairs for holomorphic bundles over Riemann surfaces. Zbl 0759.32013
1991
Vortices in holomorphic line bundles over closed Kähler manifolds. Zbl 0717.53075
1990
all top 5

#### Cited by 262 Authors

 25 García-Prada, Oscar 17 Biswas, Indranil 17 Newstead, Peter E. 14 Bradlow, Steven B. 13 Zhang, Xi 9 Gothen, Peter B. 9 Muñoz Velázquez, Vicente 8 Collier, Brian 7 Lange, Herbert 7 Yang, Yisong 7 Zhang, Chuanjing 6 Baptista, Joao M. 6 Oliveira, André G. 6 Manton, Nicholas S. 6 Rayan, Steven 6 Romão, Nuno M. 5 Álvarez-Cónsul, Luis 5 Brambila-Paz, Gloria Leticia 5 Brivio, Sonia 5 Schaposnik, Laura P. 5 Stemmler, Matthias 5 Wentworth, Richard A. 5 Wienhard, Anna Katharina 4 Ballico, Edoardo 4 Burger, Marc 4 Garcia-Fernandez, Mario 4 Han, Xiaosen 4 Iozzi, Alessandra 4 Labourie, François 4 Li, Jiayu 4 Mercat, Vincent 4 Rink, Norman A. 4 Teixidor i Bigas, Montserrat 3 Anderson, Lara B. 3 Arroyo, Marta Aparicio 3 Baraglia, David 3 Bhosle, Usha N. 3 Diaconescu, Duiliu-Emanuel 3 Arango Florentino, Carlos Armindo 3 Hitching, George H. 3 Kim, Inkang 3 Lawton, Sean 3 Loftin, John C. 3 Maubon, Julien 3 Nozad, Azizeh 3 Popov, Alexander D. 3 Schmitt, Alexander H. W. 3 Teleman, Andrei-Dumitru 3 Theriault, Stephen D. 3 Xu, Guangbo 3 Zhang, Pan 2 Bertram, Aaron 2 Biquard, Olivier 2 Bridgeman, Martin J. 2 Bruasse, Laurent 2 Bruzzo, Ugo 2 Canary, Richard D. 2 Cheng, Da Rong 2 Daskalopoulos, Georgios D. 2 Demoulini, Sophia 2 Dey, Rukmini 2 Dorigoni, Daniele 2 Favale, Filippo Francesco 2 Glazebrook, James F. 2 Graña Otero, Beatriz 2 Grzegorczyk, Iwona 2 Guichard, Olivier 2 Heinloth, Jochen 2 Hernández Ruipérez, Daniel 2 Hoff, Michael 2 Huang, Pengfei 2 Huh, Sukmoon 2 Jacob, Adam 2 Kamber, Franz W. 2 Koziarz, Vincent 2 Kydonakis, Georgios 2 Li, Qiongling 2 Liu, Chih-Chung 2 Logares, Marina 2 Mata-Gutiérrez, Osbaldo 2 Mundet i Riera, Ignasi 2 Nagy, Ákos 2 Nam, Kwan Hui 2 Okonek, Christian 2 Pansu, Pierre 2 Pasotti, Stefano 2 Pingali, Vamsi Pritham 2 Prantil, Francesco 2 Pustetto, Andrea 2 Raghavendra, Nyshadham 2 Sambarino, Andrés 2 Sergeev, Armen Glebovich 2 Song, Chong 2 Speight, James Martin 2 Spinaci, Marco 2 Sundbo, Evan 2 Thaddeus, Michael 2 Tian, Gang 2 Wilkin, Graeme 2 Woodward, Christopher T. ...and 162 more Authors
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#### Cited in 90 Serials

 35 International Journal of Mathematics 20 Journal of Geometry and Physics 18 Geometriae Dedicata 14 Communications in Mathematical Physics 11 Mathematische Annalen 9 Journal of Mathematical Physics 8 Advances in Mathematics 7 Nuclear Physics. B 7 Journal of High Energy Physics 6 Letters in Mathematical Physics 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Inventiones Mathematicae 5 Journal für die Reine und Angewandte Mathematik 4 The Journal of Geometric Analysis 4 Calculus of Variations and Partial Differential Equations 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Communications in Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Duke Mathematical Journal 3 Glasgow Mathematical Journal 3 Journal of Functional Analysis 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Annals of Global Analysis and Geometry 3 Differential Geometry and its Applications 3 Geometric and Functional Analysis. GAFA 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Geometry & Topology 3 Communications in Mathematics and Statistics 3 Journal de l’École Polytechnique – Mathématiques 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 Illinois Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Journal of the American Mathematical Society 2 Bulletin des Sciences Mathématiques 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 Proceedings of the Steklov Institute of Mathematics 2 Science China. Mathematics 2 European Journal of Mathematics 1 International Journal of Modern Physics A 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Archiv der Mathematik 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Science in China. Series A 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Transformation Groups 1 Mathematical Physics, Analysis and Geometry 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Advances in Geometry 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Japanese Journal of Mathematics. 3rd Series 1 Arabian Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Research in the Mathematical Sciences 1 Complex Manifolds
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#### Cited in 25 Fields

 153 Algebraic geometry (14-XX) 109 Differential geometry (53-XX) 75 Several complex variables and analytic spaces (32-XX) 63 Global analysis, analysis on manifolds (58-XX) 54 Quantum theory (81-XX) 35 Manifolds and cell complexes (57-XX) 25 Partial differential equations (35-XX) 17 Topological groups, Lie groups (22-XX) 15 Functions of a complex variable (30-XX) 14 Group theory and generalizations (20-XX) 12 Associative rings and algebras (16-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of particles and systems (70-XX) 8 Relativity and gravitational theory (83-XX) 6 Algebraic topology (55-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX)