## Kim, Bumsig

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 Author ID: kim.bumsig Published as: Kim, Bumsig; Kim, B. Homepage: http://newton.kias.re.kr/~bumsig/ External Links: MGP · Google Scholar
 Documents Indexed: 35 Publications since 1995 Co-Authors: 22 Co-Authors with 26 Joint Publications 430 Co-Co-Authors
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### Co-Authors

 9 single-authored 13 Ciocan-Fontanine, Ionuţ 2 Batyrev, Victor V. 2 Bertram, Aaron 2 Kresch, Andrew 2 Oh, Jeongseok 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, Kyungho 1 Oh, Yong-Geun 1 Pandharipande, Rahul 1 Pantev, Tony G. 1 Polishchuk, Alexander Evgen’evich 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 2 Selecta Mathematica. New Series 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 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Journal of the Institute of Mathematics of Jussieu 1 Algebraic Geometry
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### Fields

 33 Algebraic geometry (14-XX) 10 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 Category theory; homological algebra (18-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 680 times in 364 Documents Cited by Year
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
1995
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
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
The connectedness of the moduli space of maps to homogeneous spaces. Zbl 1076.14517
Kim, B.; Pandharipande, R.
2001
Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee. Zbl 1078.14535
Kim, Bumsig; Kresch, Andrew; Pantev, Tony
2003
Wall-crossing in genus zero quasimap theory and mirror maps. Zbl 1322.14083
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2014
Quantum cohomology of flag manifolds $$G/B$$ and quantum Toda lattices. Zbl 1054.14533
Kim, Bumsig
1999
Moduli stacks of stable toric quasimaps. Zbl 1203.14014
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2010
Two proofs of a conjecture of Hori and Vafa. Zbl 1082.14055
Bertram, Aaron; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2005
Orbifold quasimap theory. Zbl 1337.14012
Cheong, Daewoong; Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2015
Quantum cohomology of partial flag manifolds and a residue formula for their intersection pairings. Zbl 0849.14019
Kim, Bumsig
1995
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
Higher genus quasimap wall-crossing for semipositive targets. Zbl 1408.14041
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2017
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
Mirror theorem for elliptic quasimap invariants. Zbl 1423.14316
Kim, Bumsig; Lho, Hyenho
2018
Quantum hyperplane section theorem for homogeneous spaces. Zbl 1023.14028
Kim, Bumsig
1999
Quasimap wall-crossings and mirror symmetry. Zbl 1475.14109
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
2020
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 cohomology of the Grassmannian and alternate Thom-Sebastiani. Zbl 1151.53075
Kim, Bumsig; Sabbah, Claude
2008
Quantum hyperplane section principle for concavex decomposable vector bundles. Zbl 0986.14035
Kim, Bumsig
2000
Wall-crossings for twisted quiver bundles. Zbl 1282.14096
Kim, Bumsig; Lee, Hwayoung
2013
Residue mirror symmetry for Grassmannians. Zbl 1451.14161
Kim, Bumsig; Oh, Jeongseok; Ueda, Kazushi; Yoshida, Yutaka
2020
Localized Chern characters for 2-periodic complexes. Zbl 1486.14073
Kim, Bumsig; Oh, Jeongseok
2022
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
Localized Chern characters for 2-periodic complexes. Zbl 1486.14073
Kim, Bumsig; Oh, Jeongseok
2022
Quasimap wall-crossings and mirror symmetry. Zbl 1475.14109
Ciocan-Fontanine, Ionuţ; Kim, Bumsig
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
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### Cited by 389 Authors

 18 Kim, Bumsig 13 Ciocan-Fontanine, Ionuţ 11 Coates, Tom 11 Iritani, Hiroshi 9 Kiem, Young-Hoon 9 Rietsch, Konstanze 8 Chung, Kiryong 7 Oh, Jeongseok 7 Tseng, Hsian-Hua 7 Woodward, Christopher T. 6 Cho, Yunhyung 6 Corti, Alessio 6 Lho, Hyenho 6 Li, Jun 6 Oblezin, Sergey V. 6 Ruan, Yongbin 6 Smirnov, Andrey V. 6 Wise, Jonathan 5 Skovsted Buch, Anders 5 Chen, Qile 5 Fan, Honglu 5 Koroteev, Peter 5 Lee, Yuan-Pin 5 Li, Changzheng 5 Manolache, Cristina 5 Mihalcea, Leonardo Constantin 5 Okun’kov, Andreĭ Yur’evich 5 Przhiyalkovskiĭ, Viktor Vladimirovich 4 Bullimore, Mathew Richard 4 Chang, Huai-Liang 4 Galkin, Sergeĭ 4 Gerasimov, Anton A. 4 Jockers, Hans 4 Kim, Yoosik 4 Korff, Christian 4 Lam, Thomas F. 4 Pandharipande, Rahul 4 Sciarappa, Antonio 4 Ueda, Kazushi 4 van Straten, Duco 4 Zhou, Yang 3 Abramovich, Dan 3 Bärligea, Christoph Mark 3 Bertram, Aaron 3 Bonelli, Giulio 3 Braverman, Alexander 3 Clader, Emily 3 Dimofte, Tudor Dan 3 Dinkins, Hunter 3 Gorbounov, Vassily 3 Gorskiĭ, Aleksandr Sergeevich 3 Jarvis, Tyler J. 3 Kasprzyk, Alexander M. 3 Kirillov, Anatol N. 3 Lakshmibai, Venkatramani 3 Lebedev, Dimitri R. 3 Liu, Chiu-Chu Melissa 3 López Martín, Alberto 3 Marcus, Steffen 3 Nabijou, Navid 3 O’Connell, Neil 3 Oh, Yong-Geun 3 Oprea, Dragos 3 Ranganathan, Dhruv 3 Ross, Dustin 3 Shimozono, Mark 3 Shramov, Konstantin Aleksandrovich 3 Taipale, Kaisa 3 Tanzini, Alessandro 3 Varchenko, Alexander Nikolaevich 3 Vaško, Petr 3 Venugopalan, Sushmita 3 Webb, Rachel 3 Yoshida, Yutaka 3 You, Fenglong 3 Zeitlin, Anton M. 2 Aganagic, Mina 2 Altmann, Klaus 2 Battistella, Luca 2 Batyrev, Victor V. 2 Bertiger, Anna S. 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 ...and 289 more Authors
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### Cited in 95 Serials

 34 Advances in Mathematics 19 Journal of High Energy Physics 18 Journal of Geometry and Physics 16 Communications in Mathematical Physics 13 Duke Mathematical Journal 11 Transactions of the American Mathematical Society 10 Selecta Mathematica. New Series 9 Michigan Mathematical Journal 9 Geometry & Topology 8 Letters in Mathematical Physics 8 International Journal of Mathematics 8 Journal of Algebraic Geometry 8 Transformation Groups 8 Forum of Mathematics, Sigma 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Annalen 7 Journal of the American Mathematical Society 6 Nuclear Physics. B 6 Compositio Mathematica 6 Journal of Algebra 5 Annales de l’Institut Fourier 5 Inventiones Mathematicae 5 Proceedings of the American Mathematical Society 5 The Electronic Journal of Combinatorics 4 Communications in Algebra 4 Acta Mathematica 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Pure and Applied Algebra 3 Bulletin of the Korean Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Advances in Geometry 3 Science China. Mathematics 3 Kyoto Journal of Mathematics 3 European Journal of Mathematics 2 Journal of Mathematical Physics 2 Russian Mathematical Surveys 2 Theoretical and Mathematical Physics 2 Beiträge zur Algebra und Geometrie 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 European Journal of Combinatorics 2 International Journal of Algebra and Computation 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 Algebraic Combinatorics 2 Peking Mathematical Journal 1 International Journal of Modern Physics A 1 Journal of Statistical Physics 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Forum Mathematicum 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 Izvestiya: Mathematics 1 Representation Theory 1 Conformal Geometry and Dynamics 1 Taiwanese Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Central European Journal of Mathematics 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Pi 1 Mathematics 1 Arnold Mathematical Journal 1 Annals of $$K$$-Theory 1 Transactions of the American Mathematical Society. Series B 1 Journal of Siberian Federal University. Mathematics & Physics 1 Journal of Combinatorial Algebra
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### Cited in 34 Fields

 310 Algebraic geometry (14-XX) 78 Differential geometry (53-XX) 65 Quantum theory (81-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Combinatorics (05-XX) 16 Nonassociative rings and algebras (17-XX) 15 $$K$$-theory (19-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Convex and discrete geometry (52-XX) 11 Special functions (33-XX) 11 Manifolds and cell complexes (57-XX) 10 Associative rings and algebras (16-XX) 10 Topological groups, Lie groups (22-XX) 10 Algebraic topology (55-XX) 9 Group theory and generalizations (20-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Number theory (11-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Commutative algebra (13-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 2 Category theory; homological algebra (18-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-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 Geometry (51-XX) 1 Fluid mechanics (76-XX)