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Kirwan, Frances Clare

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Author ID: kirwan.frances-clare Recent zbMATH articles by "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

Publications by Year

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.
576
1993
Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020
Kirwan, Frances Clare
246
1984
Localization for nonabelian group actions. Zbl 0833.55009
Jeffrey, Lisa C.; Kirwan, Frances C.
93
1995
Convexity properties of the moment mapping. III. Zbl 0561.58016
Kirwan, Frances
82
1984
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011
Kirwan, Frances Clare
56
1985
Complex algebraic curves. Zbl 0744.14018
Kirwan, Frances
45
1992
An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001
Kirwan, Frances; Woolf, Jonathan
32
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.
29
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
24
1986
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017
Kirwan, Frances
22
1986
The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010
Kirwan, Frances
20
1992
Localization and the quantization conjecture. Zbl 0876.55007
Jeffrey, Lisa C.; Kirwan, Frances C.
16
1997
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
14
2007
An introduction to intersection homology theory. Zbl 0656.55002
Kirwan, Frances
14
1988
The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009
Kirwan, Frances
11
1988
Rational intersection cohomology of quotient varieties. Zbl 0613.14016
Kirwan, Frances
11
1986
The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011
Earl, Richard; Kirwan, Frances
9
2000
Intersection homology and torus actions. Zbl 0645.14021
Kirwan, Frances
9
1988
Quotients of the complex ball by discrete groups. Zbl 0597.57023
Kirwan, F. C.; Lee, R.; Weintraub, S. H.
9
1987
Momentum maps and reduction in algebraic geometry. Zbl 0955.37031
Kirwan, Frances
8
1998
Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537
Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan
6
2003
Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012
Kirwan, Frances
6
1987
Implosion for hyperkähler manifolds. Zbl 1286.53056
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
5
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
4
2004
Twistor spaces for hyperkähler implosions. Zbl 1296.32004
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
3
2014
Implosions and hypertoric geometry. Zbl 1300.53049
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
3
2013
Quotients by non-reductive algebraic group actions. Zbl 1187.14053
Kirwan, Frances
3
2009
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
3
2008
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
3
2005
Cohomology of moduli spaces. Zbl 1049.14017
Kirwan, Frances
3
2002
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011
Earl, Richard; Kirwan, Frances
3
1999
On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022
Jeffrey, Lisa C.; Kirwan, Frances C.
3
1996
The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018
Kirwan, Frances; Lee, Ronnie
3
1989
Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007
Kirwan, Frances
3
1987
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2
2012
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; Kirwan, Frances
2
2012
Symplectic implosion and nonreductive quotients. Zbl 1256.14048
Kirwan, Frances
2
2011
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
Kirwan, Frances
2
2005
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033
Jeffrey, Lisa C.; Kirwan, Frances C.
2
1995
Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012
Kirwan, Frances
2
1992
Moduli spaces of degree d hypersurfaces in \({\mathbb{P}}_ n\). Zbl 0676.14003
Kirwan, Frances
2
1989
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
1
2018
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
1
2018
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
1
2016
A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061
Dancer, Andrew; Kirwan, Frances
1
2015
On the cohomology of hyperkähler quotients. Zbl 1186.53061
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances
1
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
1
2006
Some examples of minimally degenerate Morse functions. Zbl 0627.58014
Kirwan, Frances
1
1987
Sur la cohomologie des espaces quotients. Zbl 0537.14030
Kirwan, Frances
1
1982
Constructing quotients of algebraic varieties by linear algebraic group actions. Zbl 1422.14050
Bérczi, Gergely; Hawes, Thomas; Kirwan, Frances; Doran, Brent
1
2018
Geometric invariant theory for graded unipotent groups and applications. Zbl 1420.14106
Bérczi, Gergely; Doran, Brent; Hawes, Thomas; Kirwan, Frances
1
2018
Symplectic and hyperkähler implosion. Zbl 1368.53039
Dancer, Andrew; Doran, Brent; Kirwan, Frances; Swann, Andrew
1
2016
A multiplicative analogue of complex symplectic implosion. Zbl 1333.53061
Dancer, Andrew; Kirwan, Frances
1
2015
Twistor spaces for hyperkähler implosions. Zbl 1296.32004
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
3
2014
Implosion for hyperkähler manifolds. Zbl 1286.53056
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
5
2013
Implosions and hypertoric geometry. Zbl 1300.53049
Dancer, Andrew; Kirwan, Frances; Swann, Andrew
3
2013
A geometric construction for invariant jet differentials. Zbl 1331.58007
Berczi, Gergely; Kirwan, Frances
2
2012
Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type. Zbl 1263.14048
Hoskins, Victoria; Kirwan, Frances
2
2012
Symplectic implosion and nonreductive quotients. Zbl 1256.14048
Kirwan, Frances
2
2011
Quotients by non-reductive algebraic group actions. Zbl 1187.14053
Kirwan, Frances
3
2009
On the cohomology of hyperkähler quotients. Zbl 1186.53061
Jeffrey, Lisa; Kiem, Young-Hoon; Kirwan, Frances
1
2009
Yang-Mills theory and Tamagawa numbers: The fascination of unexpected links in mathematics. Zbl 1166.14024
Asok, Aravind; Doran, Brent; Kirwan, Frances
3
2008
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
14
2007
An introduction to intersection homology theory. 2nd ed. Zbl 1106.55001
Kirwan, Frances; Woolf, Jonathan
32
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
1
2006
Moduli spaces of bundles over Riemann surfaces and the Yang-Mills stratification revisited. Zbl 1156.14305
Kirwan, Frances
3
2005
Refinements of the Morse stratification of the normsquare of the moment map. Zbl 1073.32015
Kirwan, Frances
2
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
4
2004
Cohomology pairings on singular quotients in geometric invariant theory. Zbl 1080.14537
Jeffrey, Lisa C.; Kiem, Young-Hoon; Kirwan, Frances; Woolf, Jonathan
6
2003
Cohomology of moduli spaces. Zbl 1049.14017
Kirwan, Frances
3
2002
The Hodge numbers of the moduli spaces of vector bundles over a Riemann surface. Zbl 0971.14011
Earl, Richard; Kirwan, Frances
9
2000
The Pontryagin rings of moduli spaces of arbitrary rank holomorphic bundles over a Riemann surface. Zbl 0965.14011
Earl, Richard; Kirwan, Frances
3
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.
29
1998
Momentum maps and reduction in algebraic geometry. Zbl 0955.37031
Kirwan, Frances
8
1998
Localization and the quantization conjecture. Zbl 0876.55007
Jeffrey, Lisa C.; Kirwan, Frances C.
16
1997
On localization and Riemann-Roch numbers for symplectic quotients. Zbl 0870.53022
Jeffrey, Lisa C.; Kirwan, Frances C.
3
1996
Localization for nonabelian group actions. Zbl 0833.55009
Jeffrey, Lisa C.; Kirwan, Frances C.
93
1995
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface. Zbl 0849.58033
Jeffrey, Lisa C.; Kirwan, Frances C.
2
1995
Geometric invariant theory. 3rd enl. ed. Zbl 0797.14004
Mumford, D.; Fogarty, J.; Kirwan, F.
576
1993
Complex algebraic curves. Zbl 0744.14018
Kirwan, Frances
45
1992
The cohomology rings of moduli spaces of bundles over Riemann surfaces. Zbl 0804.14010
Kirwan, Frances
20
1992
Corrigendum: On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0778.14012
Kirwan, Frances
2
1992
The cohomology of moduli spaces of K3 surfaces of degree 2. I. II. Zbl 0671.14018
Kirwan, Frances; Lee, Ronnie
3
1989
Moduli spaces of degree d hypersurfaces in \({\mathbb{P}}_ n\). Zbl 0676.14003
Kirwan, Frances
2
1989
An introduction to intersection homology theory. Zbl 0656.55002
Kirwan, Frances
14
1988
The topology of reduced phase spaces of the motion of vortices on a sphere. Zbl 0653.58009
Kirwan, Frances
11
1988
Intersection homology and torus actions. Zbl 0645.14021
Kirwan, Frances
9
1988
Quotients of the complex ball by discrete groups. Zbl 0597.57023
Kirwan, F. C.; Lee, R.; Weintraub, S. H.
9
1987
Rational intersection cohomology of quotient varieties. II. Zbl 0631.14012
Kirwan, Frances
6
1987
Morse functions for which the stationary phase approximation is exact. Zbl 0627.58007
Kirwan, Frances
3
1987
Some examples of minimally degenerate Morse functions. Zbl 0627.58014
Kirwan, Frances
1
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
24
1986
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface. Zbl 0607.14017
Kirwan, Frances
22
1986
Rational intersection cohomology of quotient varieties. Zbl 0613.14016
Kirwan, Frances
11
1986
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers. Zbl 0592.14011
Kirwan, Frances Clare
56
1985
Cohomology of quotients in symplectic and algebraic geometry. Zbl 0553.14020
Kirwan, Frances Clare
246
1984
Convexity properties of the moment mapping. III. Zbl 0561.58016
Kirwan, Frances
82
1984
Sur la cohomologie des espaces quotients. Zbl 0537.14030
Kirwan, Frances
1
1982
all top 5

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
all top 5

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
all top 5

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)

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