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Givental, Alexander Borisovich

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Author ID: givental.alexander-b Recent zbMATH articles by "Givental, Alexander Borisovich"
Published as: Givental’, A. B.; Givental, Alexander; Givental, Alexander B.; Givental, A. B.; Givental, A.
Homepage: https://math.berkeley.edu/~giventh/
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 60 Publications since 1980, including 1 Book

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 1,239 times in 800 Documents Cited by Year
Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114
Eliashberg, Y.; Givental, A.; Hofer, H.
179
2000
Equivariant Gromov-Witten invariants. Zbl 0881.55006
Givental, Alexander B.
156
1996
Gromov-Witten invariants and quantization of quadratic Hamiltonians. Zbl 1008.53072
Givental, Alexander B.
125
2001
Quantum Riemann-Roch, Lefschetz and Serre. Zbl 1189.14063
Coates, Tom; Givental, Alexander
78
2007
A mirror theorem for toric complete intersections. Zbl 0936.14031
Givental, Alexander
75
1998
Semisimple Frobenius structures at higher genus. Zbl 1074.14532
Givental, Alexander B.
75
2001
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
70
1995
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Zbl 0895.32006
Givental, Alexander
61
1997
Symplectic geometry of Frobenius structures. Zbl 1075.53091
Givental, Alexander B.
54
2004
Homological geometry and mirror symmetry. Zbl 0863.14021
Givental, Alexander B.
40
1995
Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups. Zbl 1051.14063
Givental, Alexander; Lee, Yuan-Pin
39
2003
Elliptic Gromov-Witten invariants and the generalized mirror conjecture. Zbl 0961.14036
Givental, Alexander
31
1998
Symplectic geometry. Zbl 0780.58016
Arnol’d, V. I.; Givental’, A. B.
26
1985
Homological geometry. I: Projective hypersurfaces. Zbl 0920.14028
Givental, A. B.
24
1995
\(A_{n-1}\) singularities and \(n\)KdV hierarchies. Zbl 1054.14067
Givental, Alexander
19
2003
Simple singularities and integrable hierarchies. Zbl 1075.37025
Givental, Alexander B.; Milanov, Todor E.
16
2005
On the WDVV equation in quantum \(K\)-theory. Zbl 1081.14523
Givental, Alexander
15
2000
Soliton equations, vertex operators, and simple singularities. Zbl 1203.37108
Frenkel, Edward; Givental, Alexander; Milanov, Todor
13
2010
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0731.58023
Givental’, A. B.
13
1988
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella. Zbl 0621.58025
Givental’, A. B.
11
1986
Nonlinear generalization of the Maslov index. Zbl 0728.53024
Givental’, A. B.
11
1990
The Hirzebruch-Riemann-Roch theorem in true genus-0 quantum \(K\)-theory. Zbl 1335.19002
Givental, Alexander; Tonita, Valentin
10
2014
The mirror formula for quintic threefolds. Zbl 0951.14038
Givental, Alexander
9
1999
Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions. Zbl 0467.58009
Givental’, A. B.
9
1980
Twisted Picard-Lefschetz formulas. Zbl 0665.32011
Givental’, A. B.
9
1988
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0900.58013
Givental’, A. B.
8
1988
A symplectic fixed point theorem for toric manifolds. Zbl 0835.55001
Givental, A. B.
6
1995
Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation. Zbl 0508.58020
Givental’, A. B.
5
1982
Period mapping and intersection form. Zbl 0497.32008
Varchenko, A. N.; Givental’, A. B.
5
1982
Quantum cobordisms and formal group laws. Zbl 1103.14011
Coates, Tom; Givental, Alexander
5
2006
Mapping of periods and intersection form. Zbl 0513.32018
Varchenko, A. N.; Givental’, A. B.
4
1982
A tutorial on quantum cohomology. Zbl 1037.53510
Givental, Alexander
4
1999
Moments of random variables and the equivariant Morse lemma. Zbl 0647.57026
Givental’, A. B.
4
1987
Sturm’s theorem for hyperelliptic integrals. Zbl 0724.58026
Givental’, A. B.
4
1990
Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. Zbl 0535.58016
Givental’, A. B.
4
1983
Explicit reconstruction in quantum cohomology and \(K\)-theory. Zbl 1360.14130
Givental, Alexander
3
2016
Periodic maps in symplectic topology. Zbl 0724.58031
Givental’, A. B.
3
1989
The nonlinear Maslov index. Zbl 0725.57013
Givental, A. B.
3
1990
Dynamical systems. IV: Symplectic geometry. Zbl 0592.58030
Arnol’d, V. I.; Givental’, A. B.
3
1985
Maximum number of singular points on a projective hypersurface. Zbl 0529.14022
Givental’, A. B.
2
1983
Whitney singularities of solutions of partial differential equations. Zbl 0858.35003
Givental, Alexander B.
2
1995
Permutation-equivariant quantum \(K\)-theory. I: Definitions. Elementary \(K\)-theory of \(\overline {\mathcal M}_{0,n}/S_n\). Zbl 1411.14065
Givental, Alexander
1
2017
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
1
2012
Plücker formulae and Cartan matrices. Zbl 0694.14007
Givental’, A. B.
1
1989
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007
Arnol’d, V. I.; Varchenko, A. N.; Givental’, A. B.; Khovanskij, A. G.
1
1984
Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. Zbl 0578.58020
Givental’, A. B.
1
1983
Permutation-equivariant quantum \(K\)-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
1
2020
Permutation-equivariant quantum \(K\)-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
1
2020
Permutation-equivariant quantum \(K\)-theory. I: Definitions. Elementary \(K\)-theory of \(\overline {\mathcal M}_{0,n}/S_n\). Zbl 1411.14065
Givental, Alexander
1
2017
Explicit reconstruction in quantum cohomology and \(K\)-theory. Zbl 1360.14130
Givental, Alexander
3
2016
The Hirzebruch-Riemann-Roch theorem in true genus-0 quantum \(K\)-theory. Zbl 1335.19002
Givental, Alexander; Tonita, Valentin
10
2014
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 1255.58002
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G.
1
2012
Soliton equations, vertex operators, and simple singularities. Zbl 1203.37108
Frenkel, Edward; Givental, Alexander; Milanov, Todor
13
2010
Quantum Riemann-Roch, Lefschetz and Serre. Zbl 1189.14063
Coates, Tom; Givental, Alexander
78
2007
Quantum cobordisms and formal group laws. Zbl 1103.14011
Coates, Tom; Givental, Alexander
5
2006
Simple singularities and integrable hierarchies. Zbl 1075.37025
Givental, Alexander B.; Milanov, Todor E.
16
2005
Symplectic geometry of Frobenius structures. Zbl 1075.53091
Givental, Alexander B.
54
2004
Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups. Zbl 1051.14063
Givental, Alexander; Lee, Yuan-Pin
39
2003
\(A_{n-1}\) singularities and \(n\)KdV hierarchies. Zbl 1054.14067
Givental, Alexander
19
2003
Gromov-Witten invariants and quantization of quadratic Hamiltonians. Zbl 1008.53072
Givental, Alexander B.
125
2001
Semisimple Frobenius structures at higher genus. Zbl 1074.14532
Givental, Alexander B.
75
2001
Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114
Eliashberg, Y.; Givental, A.; Hofer, H.
179
2000
On the WDVV equation in quantum \(K\)-theory. Zbl 1081.14523
Givental, Alexander
15
2000
The mirror formula for quintic threefolds. Zbl 0951.14038
Givental, Alexander
9
1999
A tutorial on quantum cohomology. Zbl 1037.53510
Givental, Alexander
4
1999
A mirror theorem for toric complete intersections. Zbl 0936.14031
Givental, Alexander
75
1998
Elliptic Gromov-Witten invariants and the generalized mirror conjecture. Zbl 0961.14036
Givental, Alexander
31
1998
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Zbl 0895.32006
Givental, Alexander
61
1997
Equivariant Gromov-Witten invariants. Zbl 0881.55006
Givental, Alexander B.
156
1996
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
70
1995
Homological geometry and mirror symmetry. Zbl 0863.14021
Givental, Alexander B.
40
1995
Homological geometry. I: Projective hypersurfaces. Zbl 0920.14028
Givental, A. B.
24
1995
A symplectic fixed point theorem for toric manifolds. Zbl 0835.55001
Givental, A. B.
6
1995
Whitney singularities of solutions of partial differential equations. Zbl 0858.35003
Givental, Alexander B.
2
1995
Nonlinear generalization of the Maslov index. Zbl 0728.53024
Givental’, A. B.
11
1990
Sturm’s theorem for hyperelliptic integrals. Zbl 0724.58026
Givental’, A. B.
4
1990
The nonlinear Maslov index. Zbl 0725.57013
Givental, A. B.
3
1990
Periodic maps in symplectic topology. Zbl 0724.58031
Givental’, A. B.
3
1989
Plücker formulae and Cartan matrices. Zbl 0694.14007
Givental’, A. B.
1
1989
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0731.58023
Givental’, A. B.
13
1988
Twisted Picard-Lefschetz formulas. Zbl 0665.32011
Givental’, A. B.
9
1988
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0900.58013
Givental’, A. B.
8
1988
Moments of random variables and the equivariant Morse lemma. Zbl 0647.57026
Givental’, A. B.
4
1987
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella. Zbl 0621.58025
Givental’, A. B.
11
1986
Symplectic geometry. Zbl 0780.58016
Arnol’d, V. I.; Givental’, A. B.
26
1985
Dynamical systems. IV: Symplectic geometry. Zbl 0592.58030
Arnol’d, V. I.; Givental’, A. B.
3
1985
Singularities of functions, wave fronts, caustics and multidimensional integrals. Zbl 0546.58007
Arnol’d, V. I.; Varchenko, A. N.; Givental’, A. B.; Khovanskij, A. G.
1
1984
Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. Zbl 0535.58016
Givental’, A. B.
4
1983
Maximum number of singular points on a projective hypersurface. Zbl 0529.14022
Givental’, A. B.
2
1983
Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. Zbl 0578.58020
Givental’, A. B.
1
1983
Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation. Zbl 0508.58020
Givental’, A. B.
5
1982
Period mapping and intersection form. Zbl 0497.32008
Varchenko, A. N.; Givental’, A. B.
5
1982
Mapping of periods and intersection form. Zbl 0513.32018
Varchenko, A. N.; Givental’, A. B.
4
1982
Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions. Zbl 0467.58009
Givental’, A. B.
9
1980
all top 5

Cited by 728 Authors

19 Pandharipande, Rahul
17 Iritani, Hiroshi
17 Shadrin, Sergey V.
17 Tseng, Hsian-Hua
15 Milanov, Todor E.
15 Ruan, Yongbin
14 Kim, Bumsig
12 Ciocan-Fontanine, Ionuţ
10 Coates, Tom
10 Ekholm, Tobias
10 Lee, Yuan-Pin
10 Rietsch, Konstanze
10 Varchenko, Alexander Nikolaevich
10 Zhang, Youjin
9 Buryak, Alexandr Y.
9 Rossi, Paolo
8 Bourgeois, Frédéric
8 Cieliebak, Kai
8 Dimitroglou Rizell, Georgios
8 Dubrovin, Boris Anatol’evich
8 Eliashberg, Yakov Matveevich
8 Etnyre, John B.
8 Gerasimov, Anton A.
8 Honda, Ko
8 Liu, Siqi
8 Woodward, Christopher T.
7 Colin, Vincent
7 Givental, Alexander Borisovich
7 Jinzenji, Masao
7 Mihalcea, Leonardo Constantin
7 Norbury, Paul T.
7 Oblezin, Sergey
7 Przhiyalkovskiĭ, Viktor Vladimirovich
7 Sabloff, Joshua M.
7 Zinger, Aleksey
6 Brini, Andrea
6 Ginzburg, Viktor L’vovich
6 Hutchings, Michael Lounsbery
6 Ishikawa, Goo
6 Jockers, Hans
6 Lebedev, Dimitri R.
6 Liu, Chiu-Chu Melissa
6 Ng, Lenhard L.
6 Priddis, Nathan
6 Shen, Yefeng
6 Sullivan, Michael G.
6 Traynor, Lisa
6 Ueda, Kazushi
6 Wendl, Chris
5 Skovsted Buch, Anders
5 Chan, Kwokwai
5 Clader, Emily
5 Dunin-Barkovskiĭ, Petr Igorevich
5 Fan, Honglu
5 Fang, Bohan
5 Feigin, Evgeny
5 Frauenfelder, Urs Adrian
5 Jarvis, Tyler J.
5 Li, Changzheng
5 Macarini, Leonardo
5 Okun’kov, Andreĭ Yur’evich
5 Tarasov, Vitaly Olegovich
5 Zvonkine, Dimitri
4 Bonelli, Giulio
4 Braverman, Alexander
4 Carlet, Guido
4 Casals, Roger
4 Chekhov, Leonid O.
4 Corti, Alessio
4 Corwin, Ivan
4 Dimofte, Tudor Dan
4 Fan, Huijun
4 Finkelberg, Michael Vladlenovich
4 Gonzalez, Eduardo
4 Guo, Shuai
4 Gürel, Basak Zehra
4 Hind, Richard K.
4 Hofer, Helmut H. W.
4 Janda, Felix
4 Kirillov, Anatol N.
4 Lho, Hyenho
4 Mann, Etienne
4 Maulik, Davesh
4 O’Connell, Neil
4 Orantin, Nicolas
4 Paternain, Gabriel Pedro
4 Seidel, Paul
4 Sevenheck, Christian
4 Spitz, Loek
4 Tanzini, Alessandro
4 van de Leur, Johan W.
4 van Straten, Duco
4 Yang, Di
4 Yoshida, Yutaka
4 Zakalyukin, Vladimir M.
3 Albers, Peter
3 Alexandrov, Alexander Sergeevich
3 Alves, Marcelo R. R.
3 Basalaev, Alexey
3 Bertram, Aaron
...and 628 more Authors
all top 5

Cited in 164 Serials

67 Advances in Mathematics
49 Communications in Mathematical Physics
45 Geometry & Topology
36 Journal of Geometry and Physics
33 Duke Mathematical Journal
25 Letters in Mathematical Physics
24 Inventiones Mathematicae
19 Journal of High Energy Physics
17 Mathematische Annalen
16 Annales de l’Institut Fourier
16 Journal of the American Mathematical Society
16 Selecta Mathematica. New Series
14 Mathematische Zeitschrift
14 Transactions of the American Mathematical Society
14 Algebraic & Geometric Topology
11 Journal of the European Mathematical Society (JEMS)
10 Michigan Mathematical Journal
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Geometriae Dedicata
9 Journal für die Reine und Angewandte Mathematik
9 Proceedings of the American Mathematical Society
9 Geometric and Functional Analysis. GAFA
9 Journal of Algebraic Geometry
8 Journal of Mathematical Physics
8 Nuclear Physics. B
8 Functional Analysis and its Applications
8 International Journal of Mathematics
7 Manuscripta Mathematica
6 Compositio Mathematica
6 Journal of Algebra
6 Differential Geometry and its Applications
6 Acta Mathematica Sinica. English Series
6 Journal of Topology
5 Proceedings of the Steklov Institute of Mathematics
5 Science China. Mathematics
4 Theoretical and Mathematical Physics
4 Acta Mathematica
4 Publications Mathématiques
4 Topology and its Applications
4 Physica D
4 Expositiones Mathematicae
4 Transformation Groups
4 Annales Henri Poincaré
4 Arnold Mathematical Journal
3 International Journal of Modern Physics A
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Functional Analysis
3 Memoirs of the American Mathematical Society
3 Nagoya Mathematical Journal
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Chinese Annals of Mathematics. Series B
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Linear Algebra and its Applications
3 Indagationes Mathematicae. New Series
3 Bulletin des Sciences Mathématiques
3 Central European Journal of Mathematics
3 Journal of Fixed Point Theory and Applications
3 Journal of Topology and Analysis
3 Japanese Journal of Mathematics. 3rd Series
3 Quantum Topology
3 Forum of Mathematics, Pi
3 European Journal of Mathematics
3 Journal de l’École Polytechnique – Mathématiques
2 Modern Physics Letters A
2 Communications on Pure and Applied Mathematics
2 Journal of Statistical Physics
2 Mathematical Notes
2 Reviews in Mathematical Physics
2 Beiträge zur Algebra und Geometrie
2 Journal of Differential Equations
2 Journal of Differential Geometry
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the Japan Academy. Series A
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Boletim da Sociedade Portuguesa de Matemática
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Mathematical Physics, Analysis and Geometry
2 Annals of Mathematics. Second Series
2 Advances in Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Kyoto Journal of Mathematics
2 Arabian Journal of Mathematics
2 Peking Mathematical Journal
1 Communications in Algebra
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Analysis and Applications
1 Physics Letters. B
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
...and 64 more Serials
all top 5

Cited in 48 Fields

426 Algebraic geometry (14-XX)
378 Differential geometry (53-XX)
138 Dynamical systems and ergodic theory (37-XX)
128 Manifolds and cell complexes (57-XX)
114 Quantum theory (81-XX)
77 Several complex variables and analytic spaces (32-XX)
58 Nonassociative rings and algebras (17-XX)
54 Global analysis, analysis on manifolds (58-XX)
29 Partial differential equations (35-XX)
27 Special functions (33-XX)
24 Combinatorics (05-XX)
23 Algebraic topology (55-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Group theory and generalizations (20-XX)
19 Topological groups, Lie groups (22-XX)
18 Ordinary differential equations (34-XX)
14 Number theory (11-XX)
14 \(K\)-theory (19-XX)
12 Associative rings and algebras (16-XX)
11 Probability theory and stochastic processes (60-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Category theory; homological algebra (18-XX)
7 Convex and discrete geometry (52-XX)
6 Operator theory (47-XX)
6 Mechanics of particles and systems (70-XX)
6 Relativity and gravitational theory (83-XX)
5 Commutative algebra (13-XX)
4 Field theory and polynomials (12-XX)
4 Difference and functional equations (39-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistics (62-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Optics, electromagnetic theory (78-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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