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## Wentworth, Richard A.

Compute Distance To:
 Author ID: wentworth.richard-a Published as: Wentworth, Richard A.; Wentworth, Richard; Wentworth, R.
 Documents Indexed: 52 Publications since 1991, including 2 Books
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#### Co-Authors

 7 single-authored 21 Daskalopoulos, Georgios D. 6 Wilkin, Graeme 3 Dostoglou, Stamatis 3 Sibley, Benjamin 2 Biswas, Indranil 2 Bradlow, Steven B. 2 Dhillon, Ajneet 2 Falbel, Elisha 2 Freixas i Montplet, Gerard 2 Hurtubise, Jacques C. 2 Mukhopadhyay, Swarnava 1 Bertram, Aaron 1 Bryan, James A. 1 Collier, Brian 1 Daskapoulos, Georgios 1 Feehan, Paul M. N. 1 García-Prada, Oscar 1 Goldman, William M. 1 Greb, Daniel 1 Ji, Lizhen 1 Katzarkov, Ludmil 1 Labourie, François 1 Matsuki, Kenji 1 Song, Jian 1 Toma, Matei 1 Uhlenbeck, Karen Keskulla 1 Weinkove, Ben 1 Weitsman, Jonathan 1 Wolf, Michael
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#### Serials

 4 Communications in Mathematical Physics 3 Mathematische Annalen 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Topology 2 Communications in Analysis and Geometry 2 Mathematical Research Letters 2 Geometry & Topology 1 Journal of Mathematical Physics 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Turkish Journal of Mathematics 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
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#### Fields

 24 Several complex variables and analytic spaces (32-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Differential geometry (53-XX) 21 Algebraic geometry (14-XX) 14 Functions of a complex variable (30-XX) 8 Quantum theory (81-XX) 6 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 326 times in 269 Documents Cited by Year
Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians. Zbl 0865.14017
Bertram, Aaron; Daskalopoulos, Georgios; Wentworth, Richard
1996
Mumford-Thaddeus principle on the moduli space of vector bundles on an algebraic surface. Zbl 0879.14002
Matsuki, Kenji; Wentworth, Richard
1997
Classification of Weil-Petersson isometries. Zbl 1043.32007
2003
The asymptotics of the Arakelov-Green’s function and Faltings’ delta invariant. Zbl 0820.14017
Wentworth, R.
1991
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
1995
Convergence properties of the Yang-Mills flow on Kähler surfaces. Zbl 1063.53026
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2004
Precise constants in bosonization formulas on Riemann surfaces. I. Zbl 1158.58017
Wentworth, Richard A.
2008
Geometric quantization for the moduli space of vector bundles with parabolic structure. Zbl 0929.53049
Daskalopoulos, Georgios D.; Wentworth, Richard A.
1997
On the Morgan-Shalen compactification of the $$SL(2,\mathbb{C})$$ character varieties of surface groups. Zbl 0974.58009
Daskalopoulos, G.; Dostoglou, S.; Wentworth, R.
2000
Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles. Zbl 1230.14046
Daskapoulos, Georgios; Weitsman, Jonathan; Wentworth, Richard A.; Wilkin, Graeme
2011
Birational equivalences of vortex moduli. Zbl 0856.32019
1996
Variations along the Fuchsian locus. Zbl 1404.37036
Labourie, François; Wentworth, Richard
2018
On the blow-up set of the Yang-Mills flow on Kähler surfaces. Zbl 1129.53047
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Higgs bundles and local systems on Riemann surfaces. Zbl 1388.30052
Wentworth, Richard A.
2016
Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I. Zbl 0788.32012
1993
Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds. Zbl 1317.58016
Sibley, Benjamin; Wentworth, Richard A.
2015
The multi-monopole equations for Kähler surfaces. Zbl 0873.53049
Bryan, James A.; Wentworth, Richard
1996
Conformal limits and the Białynicki-Birula stratification of the space of $$\lambda$$-connections. Zbl 1416.58005
Collier, Brian; Wentworth, Richard
2019
Cohomology of $$SL(2,\mathbb C)$$ character varieties of surface groups and the action of the Torelli group. Zbl 1213.57021
Daskalopoulos, Georgios D.; Wentworth, Richard A.; Wilkin, Graeme
2010
The integrability criterion in SU(2) Chern-Simons gauge theory. Zbl 0769.53018
1993
Character varieties and harmonic maps to $$\mathbb{R}$$-trees. Zbl 0933.58017
Daskalopoulos, G.; Dostoglou, S.; Wentworth, R.
1998
Eigenvalues of products of unitary matrices and Lagrangian involutions. Zbl 1081.58006
Falbel, Elisha; Wentworth, Richard A.
2006
Energy of twisted harmonic maps of Riemann surfaces. Zbl 1137.57002
Goldman, William M.; Wentworth, Richard A.
2007
Energy of harmonic maps and Gardiner’s formula. Zbl 1202.58013
Wentworth, Richard A.
2007
Harmonic maps and Teichmüller theory. Zbl 1161.30032
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Gluing formulas for determinants of Dolbeault Laplacians on Riemann surfaces. Zbl 1257.30044
Wentworth, Richard A.
2012
Cohomology of $$U(2,1)$$ representation varieties of surface groups. Zbl 1275.58009
Wentworth, Richard A.; Wilkin, Graeme
2013
Asymptotics of determinants from functional integration. Zbl 0737.58053
Wentworth, Richard
1991
Spectral convergence on degenerating surfaces. Zbl 0774.58041
Ji, Lizhen; Wentworth, Richard
1992
A generalized Quot scheme and meromorphic vortices. Zbl 1353.30035
Biswas, Indranil; Dhillon, Ajneet; Hurtubise, Jacques; Wentworth, Richard A.
2015
Factorization of rank two theta functions. II: Proof of the Verlinde formula. Zbl 0847.32020
1996
Moduli of extensions of holomorphic bundles on Kähler manifolds. Zbl 0852.58014
Daskalopoulos, Georgios; Uhlenbeck, Karen; Wentworth, Richard
1995
Morse theory and stable pairs. Zbl 1246.58008
Wentworth, Richard A.; Wilkin, Graeme
2012
On products of isometries of hyperbolic space. Zbl 1173.22008
Falbel, Elisha; Wentworth, Richard A.
2009
The action of the mapping class group on representation varieties. Zbl 1273.30036
Wentworth, Richard A.
2011
Holomorphic frames for weakly converging holomorphic vector bundles. Zbl 1175.32008
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2006
A symplectic analog of the Quot scheme. (Un analogue symplectique du schéma Quot.) Zbl 1336.14025
Biswas, Indranil; Dhillon, Ajneet; Hurtubise, Jacques; Wentworth, Richard A.
2015
Harmonic maps to Teichmüller space. Zbl 0956.32014
Daskalopoulos, Georgios; Katzarkov, Ludmil; Wentworth, Richard
2000
The Yang-Mills flow near the boundary of Teichmüller space. Zbl 0997.53046
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2000
Generalized theta functions, strange duality, and odd orthogonal bundles on curves. Zbl 1419.14045
2019
Flat line bundles and the Cappell-Miller torsion in Arakelov geometry. Zbl 1440.14043
Freixas i Montplet, Gerard; Wentworth, Richard A.
2019
Deligne pairings and families of rank one local systems on algebraic curves. Zbl 1454.58030
Freixas i Montplet, Gerard; Wentworth, Richard A.
2020
Correction to the paper: Convergence properties of the Yang-Mills flow on Kähler surfaces. Zbl 1124.53302
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Deligne pairings and families of rank one local systems on algebraic curves. Zbl 1454.58030
Freixas i Montplet, Gerard; Wentworth, Richard A.
2020
Conformal limits and the Białynicki-Birula stratification of the space of $$\lambda$$-connections. Zbl 1416.58005
Collier, Brian; Wentworth, Richard
2019
Generalized theta functions, strange duality, and odd orthogonal bundles on curves. Zbl 1419.14045
2019
Flat line bundles and the Cappell-Miller torsion in Arakelov geometry. Zbl 1440.14043
Freixas i Montplet, Gerard; Wentworth, Richard A.
2019
Variations along the Fuchsian locus. Zbl 1404.37036
Labourie, François; Wentworth, Richard
2018
Higgs bundles and local systems on Riemann surfaces. Zbl 1388.30052
Wentworth, Richard A.
2016
Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kähler manifolds. Zbl 1317.58016
Sibley, Benjamin; Wentworth, Richard A.
2015
A generalized Quot scheme and meromorphic vortices. Zbl 1353.30035
Biswas, Indranil; Dhillon, Ajneet; Hurtubise, Jacques; Wentworth, Richard A.
2015
A symplectic analog of the Quot scheme. (Un analogue symplectique du schéma Quot.) Zbl 1336.14025
Biswas, Indranil; Dhillon, Ajneet; Hurtubise, Jacques; Wentworth, Richard A.
2015
Cohomology of $$U(2,1)$$ representation varieties of surface groups. Zbl 1275.58009
Wentworth, Richard A.; Wilkin, Graeme
2013
Gluing formulas for determinants of Dolbeault Laplacians on Riemann surfaces. Zbl 1257.30044
Wentworth, Richard A.
2012
Morse theory and stable pairs. Zbl 1246.58008
Wentworth, Richard A.; Wilkin, Graeme
2012
Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles. Zbl 1230.14046
Daskapoulos, Georgios; Weitsman, Jonathan; Wentworth, Richard A.; Wilkin, Graeme
2011
The action of the mapping class group on representation varieties. Zbl 1273.30036
Wentworth, Richard A.
2011
Cohomology of $$SL(2,\mathbb C)$$ character varieties of surface groups and the action of the Torelli group. Zbl 1213.57021
Daskalopoulos, Georgios D.; Wentworth, Richard A.; Wilkin, Graeme
2010
On products of isometries of hyperbolic space. Zbl 1173.22008
Falbel, Elisha; Wentworth, Richard A.
2009
Precise constants in bosonization formulas on Riemann surfaces. I. Zbl 1158.58017
Wentworth, Richard A.
2008
On the blow-up set of the Yang-Mills flow on Kähler surfaces. Zbl 1129.53047
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Energy of twisted harmonic maps of Riemann surfaces. Zbl 1137.57002
Goldman, William M.; Wentworth, Richard A.
2007
Energy of harmonic maps and Gardiner’s formula. Zbl 1202.58013
Wentworth, Richard A.
2007
Harmonic maps and Teichmüller theory. Zbl 1161.30032
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Correction to the paper: Convergence properties of the Yang-Mills flow on Kähler surfaces. Zbl 1124.53302
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2007
Eigenvalues of products of unitary matrices and Lagrangian involutions. Zbl 1081.58006
Falbel, Elisha; Wentworth, Richard A.
2006
Holomorphic frames for weakly converging holomorphic vector bundles. Zbl 1175.32008
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2006
Convergence properties of the Yang-Mills flow on Kähler surfaces. Zbl 1063.53026
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2004
Classification of Weil-Petersson isometries. Zbl 1043.32007
2003
On the Morgan-Shalen compactification of the $$SL(2,\mathbb{C})$$ character varieties of surface groups. Zbl 0974.58009
Daskalopoulos, G.; Dostoglou, S.; Wentworth, R.
2000
Harmonic maps to Teichmüller space. Zbl 0956.32014
Daskalopoulos, Georgios; Katzarkov, Ludmil; Wentworth, Richard
2000
The Yang-Mills flow near the boundary of Teichmüller space. Zbl 0997.53046
Daskalopoulos, Georgios D.; Wentworth, Richard A.
2000
Character varieties and harmonic maps to $$\mathbb{R}$$-trees. Zbl 0933.58017
Daskalopoulos, G.; Dostoglou, S.; Wentworth, R.
1998
Mumford-Thaddeus principle on the moduli space of vector bundles on an algebraic surface. Zbl 0879.14002
Matsuki, Kenji; Wentworth, Richard
1997
Geometric quantization for the moduli space of vector bundles with parabolic structure. Zbl 0929.53049
Daskalopoulos, Georgios D.; Wentworth, Richard A.
1997
Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians. Zbl 0865.14017
Bertram, Aaron; Daskalopoulos, Georgios; Wentworth, Richard
1996
Birational equivalences of vortex moduli. Zbl 0856.32019
1996
The multi-monopole equations for Kähler surfaces. Zbl 0873.53049
Bryan, James A.; Wentworth, Richard
1996
Factorization of rank two theta functions. II: Proof of the Verlinde formula. Zbl 0847.32020
1996
Stable augmented bundles over Riemann surfaces. Zbl 0827.14010
1995
Moduli of extensions of holomorphic bundles on Kähler manifolds. Zbl 0852.58014
Daskalopoulos, Georgios; Uhlenbeck, Karen; Wentworth, Richard
1995
Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I. Zbl 0788.32012
1993
The integrability criterion in SU(2) Chern-Simons gauge theory. Zbl 0769.53018
1993
Spectral convergence on degenerating surfaces. Zbl 0774.58041
Ji, Lizhen; Wentworth, Richard
1992
The asymptotics of the Arakelov-Green’s function and Faltings’ delta invariant. Zbl 0820.14017
Wentworth, R.
1991
Asymptotics of determinants from functional integration. Zbl 0737.58053
Wentworth, Richard
1991
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#### Cited by 298 Authors

 14 Wentworth, Richard A. 13 Biswas, Indranil 9 Daskalopoulos, Georgios D. 7 Zhang, Xi 6 Bradlow, Steven B. 6 Brock, Jeffrey F. 5 García-Prada, Oscar 5 Masur, Howard A. 5 Wilkin, Graeme 4 Baptista, Joao M. 4 Collier, Brian 4 D’Hoker, Eric 4 Greb, Daniel 4 Gupta, Subhojoy 4 Labourie, François 4 Li, Jiayu 4 Marian, Alina 4 Mese, Chikako 4 Oprea, Dragos 4 Ross, Julius 4 Toma, Matei 4 Wolf, Michael 4 Wolpert, Scott A. 4 Yoshioka, Kōta 3 Basu, Anirban 3 Bertram, Aaron 3 Bridgeman, Martin J. 3 Canary, Richard D. 3 Ji, Lizhen 3 Jorgenson, Jay Alan 3 Macrì, Emanuele 3 Minsky, Yair N. 3 Modami, Babak 3 Phong, Duong Hong 3 Pioline, Boris 3 Sambarino, Andrés 3 Sanders, Andrew 3 Tian, Gang 3 Toda, Yukinobu 3 Waldron, Alex 3 Woodward, Christopher T. 3 Yamada, Sumio 3 Yoshikawa, Ken-Ichi 3 Zhang, Chuanjing 2 Andersen, Jørgen Ellegaard 2 Avdispahić, Muharem 2 Bayer, Arend 2 Chen, Xuemiao 2 Ciocan-Fontanine, Ionuţ 2 Dhillon, Ajneet 2 Diaconescu, Duiliu-Emanuel 2 Gothen, Peter B. 2 Green, Michael B. 2 Habermann, Lutz 2 Heller, Sebastian Gregor 2 Huizenga, Jack 2 Hurtubise, David E. 2 Hurtubise, Jacques C. 2 Jost, Jürgen 2 Kalvin, Victor 2 Kokotov, Aleksey 2 Kramer, Jürg 2 Lechtenfeld, Olaf 2 Lieblich, Max David 2 Liu, Chih-Chung 2 Newstead, Peter E. 2 Nuer, Howard J. 2 Popov, Alexander D. 2 Romão, Nuno M. 2 Sanders, Marc D. 2 Schaposnik, Laura P. 2 Shackleton, Kenneth J. 2 Sharpe, Eric R. 2 Sikora, Adam S. 2 Simpson, Carlos Tschudi 2 Spinaci, Marco 2 Sun, Song 2 Swoboda, Jan 2 Venugopalan, Sushmita 2 Xu, Guangbo 1 Abouzaid, Mohammed 1 Abramovich, Dan 1 Allegretti, Dylan Gregory Lucasi 1 Álvarez-Cónsul, Luis 1 Anderson, James W. 1 Aramayona, Javier 1 Arbarello, Enrico 1 Beck, Florian 1 Belkale, Prakash 1 Berman, Robert J. 1 Bhosle, Usha N. 1 Biquard, Olivier 1 Boden, Hans U. 1 Bökstedt, Marcel 1 Brambila-Paz, Gloria Leticia 1 Bridgeland, Tom 1 Bruasse, Laurent 1 Burger, Marc 1 Burns, Keith 1 Casagrande, Cinzia ...and 198 more Authors
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#### Cited in 77 Serials

 18 Advances in Mathematics 15 Communications in Mathematical Physics 13 Duke Mathematical Journal 13 Mathematische Annalen 12 Mathematische Zeitschrift 10 Geometriae Dedicata 10 International Journal of Mathematics 9 Journal für die Reine und Angewandte Mathematik 9 Transactions of the American Mathematical Society 8 Journal of Geometry and Physics 8 Inventiones Mathematicae 6 Geometric and Functional Analysis. GAFA 6 Journal of High Energy Physics 5 Proceedings of the American Mathematical Society 5 Journal of the American Mathematical Society 5 Calculus of Variations and Partial Differential Equations 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Manuscripta Mathematica 4 Topology and its Applications 4 Differential Geometry and its Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Science China. Mathematics 4 Kyoto Journal of Mathematics 3 Journal of Mathematical Physics 3 Nuclear Physics. B 3 Annales de l’Institut Fourier 3 Ergodic Theory and Dynamical Systems 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Algebraic Geometry 2 Israel Journal of Mathematics 2 Physics Letters. B 2 Compositio Mathematica 2 Journal of Algebra 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the Moscow Mathematical Society 2 Sugaku Expositions 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 Selecta Mathematica. New Series 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Topology and Analysis 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Transformation Groups 1 Conformal Geometry and Dynamics 1 Revista Matemática Complutense 1 Algebraic & Geometric Topology 1 Portugaliae Mathematica. Nova Série 1 Central European Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics 1 Research in the Mathematical Sciences
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#### Cited in 33 Fields

 137 Algebraic geometry (14-XX) 96 Differential geometry (53-XX) 86 Several complex variables and analytic spaces (32-XX) 59 Global analysis, analysis on manifolds (58-XX) 45 Functions of a complex variable (30-XX) 32 Manifolds and cell complexes (57-XX) 29 Quantum theory (81-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Group theory and generalizations (20-XX) 9 Partial differential equations (35-XX) 8 Category theory; homological algebra (18-XX) 7 Number theory (11-XX) 7 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 5 Combinatorics (05-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)