## Kirwan, Frances Clare

Compute Distance To:
 Author ID: kirwan.frances-clare Published as: Kirwan, Frances; Kirwan, Frances C.; Kirwan, Frances Clare; Kirwan, F. C.; Kirwan, F. more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
 Documents Indexed: 64 Publications since 1982, including 6 Books 1 Contribution as Editor Reviewing Activity: 67 Reviews Biographic References: 1 Publication Co-Authors: 31 Co-Authors with 38 Joint Publications 606 Co-Co-Authors
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### Co-Authors

 27 single-authored 11 Jeffrey, Lisa Claire 8 Dancer, Andrew S. 7 Bérczi, Gergely 6 Doran, Brent 4 Swann, Andrew F. 3 Earl, Richard 3 Kiem, Young-Hoon 3 Woolf, Jonathan M. 2 Hanany, Amihay 2 Hawes, Thomas 2 Hoskins, Victoria 2 Lee, Ronnie 1 Asok, Aravind 1 Bourget, Antoine 1 Donaldson, Simon Kirwan 1 Fogarty, John C. 1 Grimminger, Julius F. 1 Hitchin, Nigel James 1 Jackson, Joshua 1 Kronheimer, Peter Benedict 1 Lawrence-Naimar, Ruth 1 Lusztig, George 1 Mumford, David Bryant 1 Paycha, Sylvie 1 Penington, Geoffrey R. 1 Röser, Markus 1 Schroers, Bernd J. 1 Tsun, Tsou Sheung 1 Weintraub, Steven Howard 1 Witten, Edward 1 Zhong, Zhenghao
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### Serials

 4 Proceedings of the London Mathematical Society. Third Series 3 Inventiones Mathematicae 3 Topology 3 Transformation Groups 2 Journal of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 The Quarterly Journal of Mathematics 1 Communications in Mathematical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 Differential Geometry and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Communications in Analysis and Geometry 1 Electronic Research Announcements of the American Mathematical Society 1 Advances in Theoretical and Mathematical Physics 1 Journal of High Energy Physics 1 Pure and Applied Mathematics Quarterly 1 Ergebnisse der Mathematik und ihrer Grenzgebiete 1 London Mathematical Society Student Texts 1 Mathematical Notes (Princeton) 1 Journal of Topology 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics
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### Fields

 43 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 11 Manifolds and cell complexes (57-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Algebraic topology (55-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

55 Publications have been cited 1,686 times in 1,351 Documents Cited by Year
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
1994
Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020
Kirwan, Frances Clare
1984
Localization for nonabelian group actions. Zbl 0833.55009
Jeffrey, Lisa C.; Kirwan, Frances C.
1995
Convexity properties of the moment mapping. III. Zbl 0561.58016
Kirwan, Frances
1984
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011
Kirwan, Frances Clare
1985
Complex algebraic curves. Zbl 0744.14018
Kirwan, Frances
1992
An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001
Kirwan, Frances; Woolf, Jonathan
2006
Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface. Zbl 0949.14021
Jeffrey, Lisa C.; Kirwan, Frances C.
1998
On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Zbl 0625.14026
Kirwan, Frances
1986
The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010
Kirwan, Frances
1992
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017
Kirwan, Frances
1986
Localization and the quantization conjecture. Zbl 0876.55007
Jeffrey, Lisa C.; Kirwan, Frances C.
1997
Rational intersection cohomology of quotient varieties. Zbl 0613.14016
Kirwan, Frances
1986
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
2007
Quotients of the complex ball by discrete groups. Zbl 0597.57023
Kirwan, F. C.; Lee, R.; Weintraub, S. H.
1987
An introduction to intersection homology theory. Zbl 0656.55002
Kirwan, Frances
1988
The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011
Earl, Richard; Kirwan, Frances
2000
Implosion for hyperkähler manifolds. Zbl 1286.53056
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009
Kirwan, Frances
1988
Momentum maps and reduction in algebraic geometry. Zbl 0955.37031
Kirwan, Frances
1998
Intersection homology and torus actions. Zbl 0645.14021
Kirwan, Frances
1988
Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface. Zbl 1079.14043
Earl, Richard; Kirwan, Frances
2004
Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537
Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan
2003
Implosions and hypertoric geometry. Zbl 1300.53049
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
2018
The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018
Kirwan, Frances; Lee, Ronnie
1989
Orthosymplectic implosions. Zbl 1469.81027
Bourget, Antoine; Dancer, Andrew; Grimminger, Julius F.; Hanany, Amihay; Kirwan, Frances; Zhong, Zhenghao
2021
Symplectic implosion and nonreductive quotients. Zbl 1256.14048
Kirwan, Frances
2011
Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012
Kirwan, Frances
1987
Moduli spaces of degree d hypersurfaces in $${\mathbb{P}}_ n$$. Zbl 0676.14003
Kirwan, Frances
1989
Twistor spaces for hyperkähler implosions. Zbl 1296.32004
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2014
Quotients by non-reductive algebraic group actions. Zbl 1187.14053
Kirwan, Frances
2009
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
2008
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; Kirwan, Frances
2012
Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007
Kirwan, Frances
1987
Some examples of minimally degenerate Morse functions. Zbl 0627.58014
Kirwan, Frances
1987
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
2016
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
2018
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011
Earl, Richard; Kirwan, Frances
1999
Cohomology of moduli spaces. Zbl 1049.14017
Kirwan, Frances
2002
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
Kirwan, Frances
2005
On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022
Jeffrey, Lisa C.; Kirwan, Frances C.
1996
Symplectic duality and implosions. Zbl 1500.53086
Dancer, Andrew; Hanany, Amihay; Kirwan, Frances
2021
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
2005
Hyperkähler implosion and Nahm’s equations. Zbl 1339.53050
Dancer, Andrew; Kirwan, Frances; Röser, Markus
2016
Variation of non-reductive geometric invariant theory. Zbl 1423.14261
Bérczi, Gergely; Jackson, Joshua; Kirwan, Frances
2018
Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012
Kirwan, Frances
1992
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2012
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033
Jeffrey, Lisa C.; Kirwan, Frances C.
1995
A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061
Dancer, Andrew; Kirwan, Frances
2015
Memories of Sir Michael Atiyah. Zbl 1431.01042
Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd
2019
Graded unipotent groups and Grosshans theory. Zbl 1396.14039
Bérczi, Gergely; Kirwan, Frances
2017
Sur la cohomologie des espaces quotients. Zbl 0537.14030
Kirwan, Frances
1982
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations. Zbl 1113.14027
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances C.; Woolf, Jonathan
2006
On the cohomology of hyperkähler quotients. Zbl 1186.53061
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances
2009
Orthosymplectic implosions. Zbl 1469.81027
Bourget, Antoine; Dancer, Andrew; Grimminger, Julius F.; Hanany, Amihay; Kirwan, Frances; Zhong, Zhenghao
2021
Symplectic duality and implosions. Zbl 1500.53086
Dancer, Andrew; Hanany, Amihay; Kirwan, Frances
2021
Memories of Sir Michael Atiyah. Zbl 1431.01042
Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd
2019
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
2018
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
2018
Variation of non-reductive geometric invariant theory. Zbl 1423.14261
Bérczi, Gergely; Jackson, Joshua; Kirwan, Frances
2018
Graded unipotent groups and Grosshans theory. Zbl 1396.14039
Bérczi, Gergely; Kirwan, Frances
2017
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
2016
Hyperkähler implosion and Nahm’s equations. Zbl 1339.53050
Dancer, Andrew; Kirwan, Frances; Röser, Markus
2016
A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061
Dancer, Andrew; Kirwan, Frances
2015
Twistor spaces for hyperkähler implosions. Zbl 1296.32004
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2014
Implosion for hyperkähler manifolds. Zbl 1286.53056
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
Implosions and hypertoric geometry. Zbl 1300.53049
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; Kirwan, Frances
2012
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2012
Symplectic implosion and nonreductive quotients. Zbl 1256.14048
Kirwan, Frances
2011
Quotients by non-reductive algebraic group actions. Zbl 1187.14053
Kirwan, Frances
2009
On the cohomology of hyperkähler quotients. Zbl 1186.53061
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances
2009
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
2008
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
2007
An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001
Kirwan, Frances; Woolf, Jonathan
2006
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations. Zbl 1113.14027
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances C.; Woolf, Jonathan
2006
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
Kirwan, Frances
2005
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
2005
Complete sets of relations in the cohomology rings of moduli spaces of holomorphic bundles and parabolic bundles over a Riemann surface. Zbl 1079.14043
Earl, Richard; Kirwan, Frances
2004
Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537
Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan
2003
Cohomology of moduli spaces. Zbl 1049.14017
Kirwan, Frances
2002
The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011
Earl, Richard; Kirwan, Frances
2000
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011
Earl, Richard; Kirwan, Frances
1999
Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface. Zbl 0949.14021
Jeffrey, Lisa C.; Kirwan, Frances C.
1998
Momentum maps and reduction in algebraic geometry. Zbl 0955.37031
Kirwan, Frances
1998
Localization and the quantization conjecture. Zbl 0876.55007
Jeffrey, Lisa C.; Kirwan, Frances C.
1997
On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022
Jeffrey, Lisa C.; Kirwan, Frances C.
1996
Localization for nonabelian group actions. Zbl 0833.55009
Jeffrey, Lisa C.; Kirwan, Frances C.
1995
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033
Jeffrey, Lisa C.; Kirwan, Frances C.
1995
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
1994
Complex algebraic curves. Zbl 0744.14018
Kirwan, Frances
1992
The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010
Kirwan, Frances
1992
Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012
Kirwan, Frances
1992
The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018
Kirwan, Frances; Lee, Ronnie
1989
Moduli spaces of degree d hypersurfaces in $${\mathbb{P}}_ n$$. Zbl 0676.14003
Kirwan, Frances
1989
An introduction to intersection homology theory. Zbl 0656.55002
Kirwan, Frances
1988
The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009
Kirwan, Frances
1988
Intersection homology and torus actions. Zbl 0645.14021
Kirwan, Frances
1988
Quotients of the complex ball by discrete groups. Zbl 0597.57023
Kirwan, F. C.; Lee, R.; Weintraub, S. H.
1987
Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012
Kirwan, Frances
1987
Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007
Kirwan, Frances
1987
Some examples of minimally degenerate Morse functions. Zbl 0627.58014
Kirwan, Frances
1987
On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles. Zbl 0625.14026
Kirwan, Frances
1986
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017
Kirwan, Frances
1986
Rational intersection cohomology of quotient varieties. Zbl 0613.14016
Kirwan, Frances
1986
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011
Kirwan, Frances Clare
1985
Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020
Kirwan, Frances Clare
1984
Convexity properties of the moment mapping. III. Zbl 0561.58016
Kirwan, Frances
1984
Sur la cohomologie des espaces quotients. Zbl 0537.14030
Kirwan, Frances
1982
all top 5

### Cited by 1,503 Authors

 17 Biswas, Indranil 16 Kirwan, Frances Clare 13 Kannan, Subramaniam Senthamarai 13 Kiem, Young-Hoon 12 Vergne, Michèle 11 Biliotti, Leonardo 11 Woodward, Christopher T. 10 Brion, Michel 10 Jeffrey, Lisa Claire 9 Hausen, Jürgen 9 Kim, Heeyeon 9 Paradan, Paul-Emile 9 Reichstein, Zinovy B. 8 Edidin, Dan 8 Holm, Tara S. 8 Li, Jun 8 Pattanayak, Santosha Kumar 8 Ressayre, Nicolas 7 Benini, Francesco 7 Closset, Cyril 7 Friedman, Greg 7 Harada, Megumi 7 Hurtubise, Jacques C. 7 Knutson, Allen 7 Moon, Han-Bom 7 Yoshioka, Kōta 6 Bate, Michael Edward 6 Chung, Kiryong 6 Dancer, Andrew S. 6 Arango Florentino, Carlos Armindo 6 Gallardo, Patricio 6 Goldin, Rebecca F. 6 Guillemin, Victor W. 6 Kim, Hee-Cheol 6 Laza, Radu 6 Martin, Benjamin M. S. 6 Pelayo, Alvaro 6 Sjamaar, Reyer 6 Szenes, András 6 Van den Bergh, Michel 5 Bonahon, Francis 5 Doran, Brent 5 Ghigi, Alessandro 5 Godinho, Leonor 5 Goertsches, Oliver 5 Graham, William A. 5 Hanany, Amihay 5 Kumar, Shrawan 5 Lauret, Jorge 5 Lawton, Sean 5 Li, Hui 5 Mare, Augustin-Liviu 5 Reineke, Markus 5 Röhrle, Gerhard E. 5 Sabatini, Silvia 5 Satriano, Matthew 5 Tolman, Susan 5 Walter, Michael 5 Wilkin, Graeme 5 Willett, Brian 5 Yi, Piljin 5 Zaffaroni, Alberto 4 Bei, Francesco 4 Bérczi, Gergely 4 Caporaso, Lucia 4 Cho, Yunhyung 4 Christandl, Matthias 4 Codogni, Giulio 4 Đào Phương Bắc 4 Favero, David 4 Fedorchuk, Maksym 4 García-Prada, Oscar 4 Gasparim, Elizabeth 4 Gau, Hwa-Long 4 Gonzalez, Eduardo 4 Haghighat, Babak 4 Hassett, Brendan 4 Heinzner, Peter 4 Hu, Yi 4 Huckleberry, Alan Trinler 4 Hulek, Klaus 4 Hyeon, Donghoon David 4 Isaev, Alexander 4 Jahnel, Jörg 4 Jensen, David 4 Joshua, Roy 4 Loose, Frank 4 Ma, Shouhei 4 Mabuchi, Toshiki 4 Moore, Gregory Winthrop 4 Nakajima, Hiraku 4 Nguyễn Quôc Thăng 4 Paoletti, Roberto 4 Renner, Lex E. 4 Sawicki, Adam 4 Schmitt, Alexander H. W. 4 Sperling, Marcus 4 Stover, Matthew 4 Székelyhidi, Gábor 4 Takakura, Tatsuru ...and 1,403 more Authors
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### Cited in 239 Serials

 65 Journal of High Energy Physics 61 Advances in Mathematics 52 Transactions of the American Mathematical Society 44 Inventiones Mathematicae 43 Mathematische Annalen 42 Journal of Algebra 41 Duke Mathematical Journal 36 Transformation Groups 34 Journal of Geometry and Physics 33 International Journal of Mathematics 31 Annales de l’Institut Fourier 31 Mathematische Zeitschrift 27 Communications in Mathematical Physics 26 Journal of the American Mathematical Society 23 Geometriae Dedicata 22 Proceedings of the American Mathematical Society 21 Compositio Mathematica 20 Journal für die Reine und Angewandte Mathematik 20 Journal of Algebraic Geometry 16 Manuscripta Mathematica 14 Selecta Mathematica. New Series 13 Communications in Algebra 13 Journal of Mathematical Physics 13 Linear Algebra and its Applications 12 Journal of Pure and Applied Algebra 12 Michigan Mathematical Journal 12 Bulletin of the American Mathematical Society. New Series 11 Geometry & Topology 10 Differential Geometry and its Applications 10 Algebra & Number Theory 9 Annals of Global Analysis and Geometry 9 The Journal of Geometric Analysis 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Journal of Functional Analysis 8 Journal of the Mathematical Society of Japan 8 Annals of Mathematics. Second Series 8 Algebraic & Geometric Topology 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Memoirs of the American Mathematical Society 7 Osaka Journal of Mathematics 7 Topology and its Applications 7 Physica D 7 Journal of Symbolic Computation 7 Bulletin des Sciences Mathématiques 7 Journal of the European Mathematical Society (JEMS) 7 European Journal of Mathematics 6 Nuclear Physics. B 6 Journal of Number Theory 6 Pacific Journal of Mathematics 6 Acta Mathematica Sinica. English Series 6 Central European Journal of Mathematics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Forum of Mathematics, Sigma 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Publications Mathématiques 5 Indagationes Mathematicae. New Series 5 Nuclear Physics. B. Proceedings Supplements 5 Journal of the Institute of Mathematics of Jussieu 5 Science China. Mathematics 5 Kyoto Journal of Mathematics 5 Complex Manifolds 4 Letters in Mathematical Physics 4 Beiträge zur Algebra und Geometrie 4 Nagoya Mathematical Journal 4 Tôhoku Mathematical Journal. Second Series 4 Discrete & Computational Geometry 4 Expositiones Mathematicae 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Representation Theory 4 Journal of Physics A: Mathematical and Theoretical 4 São Paulo Journal of Mathematical Sciences 3 Communications on Pure and Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 Reviews in Mathematical Physics 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Illinois Journal of Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 3 L’Enseignement Mathématique. 2e Série 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Algebraic Combinatorics 3 Journal of Lie Theory 3 Discrete and Continuous Dynamical Systems 3 Documenta Mathematica 3 Revista Matemática Complutense 3 Foundations of Computational Mathematics 3 Journal of the Australian Mathematical Society 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 International Journal of Number Theory 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Journal of Geometric Mechanics 3 Research in the Mathematical Sciences 3 Arnold Mathematical Journal ...and 139 more Serials
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### Cited in 55 Fields

 796 Algebraic geometry (14-XX) 322 Differential geometry (53-XX) 177 Several complex variables and analytic spaces (32-XX) 156 Quantum theory (81-XX) 134 Manifolds and cell complexes (57-XX) 114 Group theory and generalizations (20-XX) 105 Global analysis, analysis on manifolds (58-XX) 94 Algebraic topology (55-XX) 92 Dynamical systems and ergodic theory (37-XX) 86 Topological groups, Lie groups (22-XX) 81 Number theory (11-XX) 77 Associative rings and algebras (16-XX) 67 Commutative algebra (13-XX) 60 Nonassociative rings and algebras (17-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Relativity and gravitational theory (83-XX) 29 $$K$$-theory (19-XX) 27 Convex and discrete geometry (52-XX) 26 Combinatorics (05-XX) 25 Category theory; homological algebra (18-XX) 21 Mechanics of particles and systems (70-XX) 16 Ordinary differential equations (34-XX) 16 Partial differential equations (35-XX) 16 Geometry (51-XX) 16 Computer science (68-XX) 13 Functions of a complex variable (30-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 Field theory and polynomials (12-XX) 7 Functional analysis (46-XX) 6 History and biography (01-XX) 6 Abstract harmonic analysis (43-XX) 6 Operator theory (47-XX) 6 General topology (54-XX) 6 Information and communication theory, circuits (94-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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