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Kim, Bumsig

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 Author ID: kim.bumsig Published as: Kim, Bumsig; Kim, B. External Links: MGP
 Documents Indexed: 34 Publications since 1995
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Co-Authors

 9 single-authored 13 Ciocan-Fontanine, Ionuţ 2 Batyrev, Victor V. 2 Bertram, Aaron 2 Kresch, Andrew 2 Sabbah, Claude 2 van Straten, Duco 1 Cheong, Daewoong 1 Givental, Alexander Borisovich 1 Joe, Dosang 1 Lee, Hwayoung 1 Lee, Yongnam 1 Lho, Hyenho 1 Maulik, Davesh 1 Oh, Jeongseok 1 Oh, Kyungho 1 Oh, Yong-Geun 1 Pandharipande, Rahul 1 Pantev, Tony G. 1 Sato, Fumitoshi 1 Ueda, Kazushi 1 Yoshida, Yutaka
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Serials

 3 IMRN. International Mathematics Research Notices 2 Acta Mathematica 2 Journal of the Korean Mathematical Society 1 Communications in Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 International Journal of Structural Stability and Dynamics 1 Algebraic Geometry
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Fields

 31 Algebraic geometry (14-XX) 9 Differential geometry (53-XX) 4 Quantum theory (81-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Associative rings and algebras (16-XX) 1 Mechanics of deformable solids (74-XX)

Citations contained in zbMATH Open

30 Publications have been cited 561 times in 303 Documents Cited by Year
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
1995
Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians. Zbl 0896.14025
Batyrev, V. V.; Ciocan-Fontanine, I.; Kim, B.; Van Straten, D.
1998
Stable quasimaps to GIT quotients. Zbl 1282.14022
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Maulik, Davesh
2014
Mirror symmetry and toric degenerations of partial flag manifolds. Zbl 1022.14014
Batyrev, Victor V.; Ciocan-Fontanine, Ionuţ; Kim, Bumsig; van Straten, Duco
2000
The connectedness of the moduli space of maps to homogeneous spaces. Zbl 1076.14517
Kim, B.; Pandharipande, R.
2001
Quantum cohomology of flag manifolds $$G/B$$ and quantum Toda lattices. Zbl 1054.14533
Kim, Bumsig
1999
Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee. Zbl 1078.14535
Kim, Bumsig; Kresch, Andrew; Pantev, Tony
2003
Two proofs of a conjecture of Hori and Vafa. Zbl 1082.14055
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2005
Moduli stacks of stable toric quasimaps. Zbl 1203.14014
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2010
Wall-crossing in genus zero quasimap theory and mirror maps. Zbl 1322.14083
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2014
Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings. Zbl 0849.14019
Kim, Bumsig
1995
Orbifold quasimap theory. Zbl 1337.14012
Cheong, Daewoong; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2015
On equivariant quantum cohomology. Zbl 0881.55007
Kim, Bumsig
1996
Gromov-Witten invariants for abelian and nonabelian quotients. Zbl 1166.14035
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2008
The abelian/nonabelian correspondence and Frobenius manifolds. Zbl 1164.14012
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Sabbah, Claude
2008
Equivariant mirrors and the Virasoro conjecture for flag manifolds. Zbl 1146.14302
Joe, Dosang; Kim, Bumsig
2003
Logarithmic stable maps. Zbl 1216.14023
Kim, Bumsig
2010
Quantum hyperplane section theorem for homogeneous spaces. Zbl 1023.14028
Kim, Bumsig
1999
Higher genus quasimap wall-crossing for semipositive targets. Zbl 1408.14041
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2017
Mirror theorem for elliptic quasimap invariants. Zbl 1423.14316
Kim, Bumsig; Lho, Hyenho
2018
Big $$I$$-functions. Zbl 1369.14018
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2016
A compactification of the space of maps from curves. Zbl 1300.14056
Kim, Bumsig; Kresch, Andrew; Oh, Yong-Geun
2014
Stable quasimaps. Zbl 1245.14058
Kim, Bumsig
2012
Quantum hyperplane section principle for concavex decomposable vector bundles. Zbl 0986.14035
Kim, Bumsig
2000
Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani. Zbl 1151.53075
Kim, Bumsig; Sabbah, Claude
2008
Wall-crossings for twisted quiver bundles. Zbl 1282.14096
Kim, Bumsig; Lee, Hwayoung
2013
Rational curves on blowing-ups of projective spaces. Zbl 1177.14055
Kim, Bumsig; Lee, Yongnam; Oh, Kyungho
2007
Stable quasimaps to holomorphic symplectic quotients. Zbl 1386.14126
Kim, Bumsig
2016
A generalization of Fulton-MacPherson configuration spaces. Zbl 1177.14029
Kim, Bumsig; Sato, Fumitoshi
2009
Residue mirror symmetry for Grassmannians. Zbl 1451.14161
Kim, Bumsig; Oh, Jeongseok; Ueda, Kazushi; Yoshida, Yutaka
2020
Residue mirror symmetry for Grassmannians. Zbl 1451.14161
Kim, Bumsig; Oh, Jeongseok; Ueda, Kazushi; Yoshida, Yutaka
2020
Mirror theorem for elliptic quasimap invariants. Zbl 1423.14316
Kim, Bumsig; Lho, Hyenho
2018
Higher genus quasimap wall-crossing for semipositive targets. Zbl 1408.14041
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2017
Big $$I$$-functions. Zbl 1369.14018
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2016
Stable quasimaps to holomorphic symplectic quotients. Zbl 1386.14126
Kim, Bumsig
2016
Orbifold quasimap theory. Zbl 1337.14012
Cheong, Daewoong; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2015
Stable quasimaps to GIT quotients. Zbl 1282.14022
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Maulik, Davesh
2014
Wall-crossing in genus zero quasimap theory and mirror maps. Zbl 1322.14083
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2014
A compactification of the space of maps from curves. Zbl 1300.14056
Kim, Bumsig; Kresch, Andrew; Oh, Yong-Geun
2014
Wall-crossings for twisted quiver bundles. Zbl 1282.14096
Kim, Bumsig; Lee, Hwayoung
2013
Stable quasimaps. Zbl 1245.14058
Kim, Bumsig
2012
Moduli stacks of stable toric quasimaps. Zbl 1203.14014
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2010
Logarithmic stable maps. Zbl 1216.14023
Kim, Bumsig
2010
A generalization of Fulton-MacPherson configuration spaces. Zbl 1177.14029
Kim, Bumsig; Sato, Fumitoshi
2009
Gromov-Witten invariants for abelian and nonabelian quotients. Zbl 1166.14035
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2008
The abelian/nonabelian correspondence and Frobenius manifolds. Zbl 1164.14012
Ciocan-Fontanine, Ionuţ; Kim, Bumsig; Sabbah, Claude
2008
Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani. Zbl 1151.53075
Kim, Bumsig; Sabbah, Claude
2008
Rational curves on blowing-ups of projective spaces. Zbl 1177.14055
Kim, Bumsig; Lee, Yongnam; Oh, Kyungho
2007
Two proofs of a conjecture of Hori and Vafa. Zbl 1082.14055
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2005
Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee. Zbl 1078.14535
Kim, Bumsig; Kresch, Andrew; Pantev, Tony
2003
Equivariant mirrors and the Virasoro conjecture for flag manifolds. Zbl 1146.14302
Joe, Dosang; Kim, Bumsig
2003
The connectedness of the moduli space of maps to homogeneous spaces. Zbl 1076.14517
Kim, B.; Pandharipande, R.
2001
Mirror symmetry and toric degenerations of partial flag manifolds. Zbl 1022.14014
Batyrev, Victor V.; Ciocan-Fontanine, Ionuţ; Kim, Bumsig; van Straten, Duco
2000
Quantum hyperplane section principle for concavex decomposable vector bundles. Zbl 0986.14035
Kim, Bumsig
2000
Quantum cohomology of flag manifolds $$G/B$$ and quantum Toda lattices. Zbl 1054.14533
Kim, Bumsig
1999
Quantum hyperplane section theorem for homogeneous spaces. Zbl 1023.14028
Kim, Bumsig
1999
Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians. Zbl 0896.14025
Batyrev, V. V.; Ciocan-Fontanine, I.; Kim, B.; Van Straten, D.
1998
On equivariant quantum cohomology. Zbl 0881.55007
Kim, Bumsig
1996
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
1995
Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings. Zbl 0849.14019
Kim, Bumsig
1995
all top 5

Cited by 339 Authors

 17 Kim, Bumsig 13 Ciocan-Fontanine, Ionuţ 10 Iritani, Hiroshi 8 Coates, Tom 8 Kiem, Young-Hoon 8 Rietsch, Konstanze 7 Chung, Kiryong 7 Tseng, Hsian-Hua 7 Woodward, Christopher T. 5 Corti, Alessio 5 Lho, Hyenho 5 Li, Jun 5 Manolache, Cristina 5 Mihalcea, Leonardo Constantin 5 Oblezin, Sergey 5 Ruan, Yongbin 5 Wise, Jonathan 4 Skovsted Buch, Anders 4 Bullimore, Mathew Richard 4 Chen, Qile 4 Cho, Yunhyung 4 Fan, Honglu 4 Gerasimov, Anton A. 4 Jockers, Hans 4 Korff, Christian 4 Koroteev, Peter 4 Lam, Thomas F. 4 Lee, Yuan-Pin 4 Li, Changzheng 4 Pandharipande, Rahul 4 Przhiyalkovskiĭ, Viktor Vladimirovich 4 Sciarappa, Antonio 4 Ueda, Kazushi 4 van Straten, Duco 3 Abramovich, Dan 3 Bertram, Aaron 3 Bonelli, Giulio 3 Braverman, Alexander 3 Chang, Huai-Liang 3 Dimofte, Tudor Dan 3 Galkin, Sergeĭ 3 Gorbounov, Vassily 3 Gorskiĭ, Aleksandr Sergeevich 3 Jarvis, Tyler J. 3 Kim, Yoosik 3 Kirillov, Anatol N. 3 Lakshmibai, Venkatramani 3 Lebedev, Dimitri R. 3 López Martín, Alberto 3 Marcus, Steffen 3 O’Connell, Neil 3 Oh, Yong-Geun 3 Oprea, Dragos 3 Shimozono, Mark 3 Shramov, Konstantin Aleksandrovich 3 Tanzini, Alessandro 3 Varchenko, Alexander Nikolaevich 3 Vaško, Petr 3 Venugopalan, Sushmita 3 Yoshida, Yutaka 3 You, Fenglong 2 Aganagic, Mina 2 Altmann, Klaus 2 Battistella, Luca 2 Batyrev, Victor V. 2 Carocci, Francesca 2 Chen, Linda 2 Cheong, Daewoong 2 Choi, Jinwon 2 Cooper, Yaim 2 Coskun, Izzet 2 Crooks, Peter 2 Diaconescu, Duiliu-Emanuel 2 Fan, Huijun 2 Fang, Bohan 2 Finkelberg, Michael Vladlenovich 2 Fourier, Ghislain 2 Gerhardus, Andreas 2 Givental, Alexander Borisovich 2 Gonzalez, Eduardo 2 Heuberger, Liana 2 Hilburn, Justin 2 Hong, Jaehyun 2 Honma, Yoshinori 2 Janda, Felix 2 Jiang, Yunfeng 2 Kapustka, Michał 2 Kasprzyk, Alexander M. 2 Kim, Hee-Cheol 2 Kresch, Andrew 2 Lee, SangHyeon 2 Leung, Naichung Conan 2 Liu, Chiu-Chu Melissa 2 Maeno, Toshiaki 2 Manabe, Masahide 2 Mare, Augustin-Liviu 2 Marian, Alina 2 Maulik, Davesh 2 Ninad, Urmi 2 Oh, Jeongseok ...and 239 more Authors
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Cited in 84 Serials

 26 Advances in Mathematics 18 Journal of Geometry and Physics 17 Journal of High Energy Physics 15 Communications in Mathematical Physics 13 Duke Mathematical Journal 10 Transactions of the American Mathematical Society 9 Michigan Mathematical Journal 9 Geometry & Topology 8 International Journal of Mathematics 8 Journal of Algebraic Geometry 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Annalen 7 Journal of the American Mathematical Society 6 Letters in Mathematical Physics 6 Nuclear Physics. B 6 Journal of Algebra 6 Selecta Mathematica. New Series 5 Annales de l’Institut Fourier 5 Compositio Mathematica 5 Proceedings of the American Mathematical Society 5 Transformation Groups 4 Acta Mathematica 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Communications in Algebra 3 Inventiones Mathematicae 3 Journal of Pure and Applied Algebra 3 Chinese Annals of Mathematics. Series B 2 Journal of Mathematical Physics 2 Theoretical and Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Journal of Functional Analysis 2 Nagoya Mathematical Journal 2 European Journal of Combinatorics 2 Bulletin of the Korean Mathematical Society 2 International Journal of Algebra and Computation 2 Annals of Mathematics. Second Series 2 Advances in Geometry 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Algebraic Combinatorics 2 Peking Mathematical Journal 1 International Journal of Modern Physics A 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 The Annals of Probability 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Forum Mathematicum 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Nuclear Physics, B, Proceedings Supplements 1 The Electronic Journal of Combinatorics 1 Izvestiya: Mathematics 1 Documenta Mathematica 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Japanese Journal of Mathematics. 3rd Series 1 Mathematics 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Journal of Siberian Federal University. Mathematics & Physics
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Cited in 33 Fields

 254 Algebraic geometry (14-XX) 69 Differential geometry (53-XX) 59 Quantum theory (81-XX) 20 Dynamical systems and ergodic theory (37-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Combinatorics (05-XX) 12 Nonassociative rings and algebras (17-XX) 11 Manifolds and cell complexes (57-XX) 10 Convex and discrete geometry (52-XX) 9 $$K$$-theory (19-XX) 9 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Special functions (33-XX) 8 Algebraic topology (55-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Number theory (11-XX) 7 Commutative algebra (13-XX) 7 Associative rings and algebras (16-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX)