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## Kirwan, Frances Clare

Compute Distance To:
 Author ID: kirwan.frances-clare Published as: Kirwan, F.; Kirwan, F. C.; Kirwan, Frances; Kirwan, Frances C.; Kirwan, Frances Clare External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 62 Publications since 1982, including 7 Books Reviewing Activity: 67 Reviews Biographic References: 1 Publication
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#### Co-Authors

 27 single-authored 11 Jeffrey, Lisa C. 7 Bérczi, Gergely 6 Dancer, Andrew S. 6 Doran, Brent 4 Swann, Andrew F. 3 Earl, Richard 3 Kiem, Young-Hoon 3 Woolf, Jonathan M. 2 Hawes, Thomas 2 Hoskins, Victoria 2 Lee, Ronnie 1 Asok, Aravind 1 Donaldson, Simon Kirwan 1 Fogarty, John C. 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 Röser, Markus 1 Schroers, Bernd J. 1 Tsun, Tsou Sheung 1 Weintraub, Steven Howard 1 Witten, Edward
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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 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 The Quarterly Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 London Mathematical Society Student Texts 1 Journal of Topology 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics
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#### Fields

 43 Algebraic geometry (14-XX) 17 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) 4 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 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-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) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

49 Publications have been cited 1,399 times in 1,145 Documents Cited by Year
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
1993
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
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017
Kirwan, Frances
1986
The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010
Kirwan, Frances
1992
Localization and the quantization conjecture. Zbl 0876.55007
Jeffrey, Lisa C.; Kirwan, Frances C.
1997
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
2007
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
Rational intersection cohomology of quotient varieties. Zbl 0613.14016
Kirwan, Frances
1986
The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011
Earl, Richard; Kirwan, Frances
2000
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
Momentum maps and reduction in algebraic geometry. Zbl 0955.37031
Kirwan, Frances
1998
Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537
Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan
2003
Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012
Kirwan, Frances
1987
Implosion for hyperkähler manifolds. Zbl 1286.53056
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
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
Twistor spaces for hyperkähler implosions. Zbl 1296.32004
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2014
Implosions and hypertoric geometry. Zbl 1300.53049
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
2013
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
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
2005
Cohomology of moduli spaces. Zbl 1049.14017
Kirwan, Frances
2002
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011
Earl, Richard; Kirwan, Frances
1999
On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022
Jeffrey, Lisa C.; Kirwan, Frances C.
1996
The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018
Kirwan, Frances; Lee, Ronnie
1989
Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007
Kirwan, Frances
1987
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2012
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; Kirwan, Frances
2012
Symplectic implosion and nonreductive quotients. Zbl 1256.14048
Kirwan, Frances
2011
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
Kirwan, Frances
2005
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033
Jeffrey, Lisa C.; Kirwan, Frances C.
1995
Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012
Kirwan, Frances
1992
Moduli spaces of degree d hypersurfaces in $${\mathbb{P}}_ n$$. Zbl 0676.14003
Kirwan, Frances
1989
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
2018
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
2018
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
2016
A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061
Dancer, Andrew; Kirwan, Frances
2015
On the cohomology of hyperkähler quotients. Zbl 1186.53061
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances
2009
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
Some examples of minimally degenerate Morse functions. Zbl 0627.58014
Kirwan, Frances
1987
Sur la cohomologie des espaces quotients. Zbl 0537.14030
Kirwan, Frances
1982
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
2018
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
2018
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
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
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2012
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; 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
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
2005
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
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.
1993
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
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#### Cited by 1,286 Authors

 15 Biswas, Indranil 14 Kirwan, Frances Clare 12 Kiem, Young-Hoon 12 Vergne, Michèle 10 Hausen, Jürgen 10 Kannan, Subramaniam Senthamarai 10 Woodward, Christopher T. 9 Kim, Heeyeon 8 Brion, Michel 8 Jeffrey, Lisa C. 8 Reichstein, Zinovy B. 7 Benini, Francesco 7 Biliotti, Leonardo 7 Closset, Cyril 7 Edidin, Dan 7 Friedman, Greg 7 Harada, Megumi 7 Holm, Tara S. 7 Hurtubise, Jacques C. 7 Knutson, Allen 7 Paradan, Paul-Emile 7 Pattanayak, Santosha Kumar 7 Yoshioka, Kōta 6 Bate, Michael Edward 6 Goldin, Rebecca F. 6 Li, Jun 6 Martin, Benjamin M. S. 6 Moon, Han-Bom 6 Szenes, András 5 Bonahon, Francis 5 Chung, Kiryong 5 Arango Florentino, Carlos Armindo 5 Gallardo, Patricio 5 Ghigi, Alessandro 5 Goertsches, Oliver 5 Graham, William A. 5 Kumar, Shrawan 5 Lauret, Jorge 5 Laza, Radu 5 Mare, Augustin-Liviu 5 Ressayre, Nicolas 5 Röhrle, Gerhard E. 5 Satriano, Matthew 5 Sawicki, Adam 5 Sjamaar, Reyer 5 Tolman, Susan 5 Wilkin, Graeme 5 Willett, Brian 5 Yi, Piljin 5 Zaffaroni, Alberto 4 Bei, Francesco 4 Cho, Yunhyung 4 Dancer, Andrew S. 4 Đào Phương Bắc 4 Doran, Brent 4 Favero, David 4 Furter, Jean-Philippe 4 Godinho, Leonor 4 Gonzalez, Eduardo 4 Guillemin, Victor W. 4 Hassett, Brendan 4 Heinzner, Peter 4 Hu, Yi 4 Huckleberry, Alan Trinler 4 Hyeon, Donghoon David 4 Isaev, Alexander 4 Jahnel, Jörg 4 Jensen, David W. 4 Lawton, Sean 4 Li, Hui 4 Loose, Frank 4 Mabuchi, Toshiki 4 Moore, Gregory Winthrop 4 Nakajima, Hiraku 4 Nguyen Quoc Thang 4 Paoletti, Roberto 4 Pelayo, Alvaro 4 Reineke, Markus 4 Renner, Lex E. 4 Sabatini, Silvia 4 Székelyhidi, Gábor 4 Van den Bergh, Michel 4 Walter, Michael 4 Wong, Helen M. 4 Zamora, Alfonso 3 Alper, Jarod 3 Arzhantsev, Ivan Vladimirovich 3 Asok, Aravind 3 Ballard, Matthew Robert 3 Bérczi, Gergely 3 Bradlow, Steven B. 3 Caporaso, Lucia 3 Casalaina-Martin, Sebastian 3 Christandl, Matthias 3 Elsenhans, Andreas-Stephan 3 Fedorchuk, Maksym 3 Ferrara, Sergio 3 García-Prada, Oscar 3 Gasparim, Elizabeth 3 Geraschenko, Anton ...and 1,186 more Authors
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#### Cited in 217 Serials

 56 Advances in Mathematics 50 Transactions of the American Mathematical Society 47 Journal of High Energy Physics 41 Inventiones Mathematicae 41 Journal of Algebra 38 Duke Mathematical Journal 37 Journal of Geometry and Physics 37 Mathematische Annalen 34 Transformation Groups 29 International Journal of Mathematics 28 Annales de l’Institut Fourier 27 Mathematische Zeitschrift 26 Journal of the American Mathematical Society 23 Communications in Mathematical Physics 20 Geometriae Dedicata 20 Proceedings of the American Mathematical Society 19 Journal für die Reine und Angewandte Mathematik 18 Journal of Algebraic Geometry 17 Compositio Mathematica 15 Journal of Pure and Applied Algebra 14 Manuscripta Mathematica 13 Journal of Mathematical Physics 12 Communications in Algebra 10 Michigan Mathematical Journal 10 Differential Geometry and its Applications 9 Linear Algebra and its Applications 9 Selecta Mathematica. New Series 9 Geometry & Topology 8 Nuclear Physics. B 8 Journal of the Mathematical Society of Japan 8 Annals of Global Analysis and Geometry 8 Bulletin of the American Mathematical Society. New Series 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Annals of Mathematics. Second Series 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of Functional Analysis 7 Osaka Journal of Mathematics 7 Topology and its Applications 7 The Journal of Geometric Analysis 6 Physica D 6 Bulletin des Sciences Mathématiques 6 Acta Mathematica Sinica. English Series 6 Algebraic & Geometric Topology 6 Central European Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Publications Mathématiques 5 Memoirs of the American Mathematical Society 5 Journal of Symbolic Computation 5 Nuclear Physics, B, Proceedings Supplements 5 Journal of the European Mathematical Society (JEMS) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Kyoto Journal of Mathematics 4 Beiträge zur Algebra und Geometrie 4 Tohoku Mathematical Journal. Second Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Physics A: Mathematical and Theoretical 4 European Journal of Mathematics 3 Communications on Pure and Applied Mathematics 3 Letters in Mathematical Physics 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 Journal of Number Theory 3 Results in Mathematics 3 Discrete & Computational Geometry 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Representation Theory 3 Revista Matemática Complutense 3 Foundations of Computational Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 International Journal of Number Theory 3 Algebra & Number Theory 3 Journal of Geometric Mechanics 3 Forum of Mathematics, Sigma 3 Complex Manifolds 2 Israel Journal of Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Linear and Multilinear Algebra 2 Reports on Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Fortschritte der Physik 2 Journal of Differential Equations 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Annals of Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 117 more Serials
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#### Cited in 54 Fields

 662 Algebraic geometry (14-XX) 288 Differential geometry (53-XX) 147 Several complex variables and analytic spaces (32-XX) 130 Quantum theory (81-XX) 113 Manifolds and cell complexes (57-XX) 96 Group theory and generalizations (20-XX) 93 Global analysis, analysis on manifolds (58-XX) 82 Dynamical systems and ergodic theory (37-XX) 77 Algebraic topology (55-XX) 74 Topological groups, Lie groups (22-XX) 59 Number theory (11-XX) 59 Associative rings and algebras (16-XX) 58 Commutative algebra (13-XX) 49 Nonassociative rings and algebras (17-XX) 26 Relativity and gravitational theory (83-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 $$K$$-theory (19-XX) 23 Convex and discrete geometry (52-XX) 22 Combinatorics (05-XX) 16 Category theory; homological algebra (18-XX) 15 Ordinary differential equations (34-XX) 15 Mechanics of particles and systems (70-XX) 13 Geometry (51-XX) 12 Partial differential equations (35-XX) 10 Computer science (68-XX) 9 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 8 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 7 General topology (54-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 5 Abstract harmonic analysis (43-XX) 5 Information and communication theory, circuits (94-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-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)