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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/
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Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,395 times in 884 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.
195
2000
Equivariant Gromov-Witten invariants. Zbl 0881.55006
Givental, Alexander B.
170
1996
Gromov-Witten invariants and quantization of quadratic Hamiltonians. Zbl 1008.53072
Givental, Alexander B.
141
2001
Quantum Riemann-Roch, Lefschetz and Serre. Zbl 1189.14063
Coates, Tom; Givental, Alexander
88
2007
Semisimple Frobenius structures at higher genus. Zbl 1074.14532
Givental, Alexander B.
88
2001
A mirror theorem for toric complete intersections. Zbl 0936.14031
Givental, Alexander
86
1998
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
72
1995
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Zbl 0895.32006
Givental, Alexander
63
1997
Symplectic geometry of Frobenius structures. Zbl 1075.53091
Givental, Alexander B.
63
2004
Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups. Zbl 1051.14063
Givental, Alexander; Lee, Yuan-Pin
48
2003
Homological geometry and mirror symmetry. Zbl 0863.14021
Givental, Alexander B.
41
1995
Elliptic Gromov-Witten invariants and the generalized mirror conjecture. Zbl 0961.14036
Givental, Alexander
34
1998
Symplectic geometry. Zbl 0780.58016
Arnol’d, V. I.; Givental’, A. B.
27
1985
Homological geometry. I: Projective hypersurfaces. Zbl 0920.14028
Givental, A. B.
26
1995
\(A_{n-1}\) singularities and \(n\)KdV hierarchies. Zbl 1054.14067
Givental, Alexander
22
2003
On the WDVV equation in quantum \(K\)-theory. Zbl 1081.14523
Givental, Alexander
21
2000
Simple singularities and integrable hierarchies. Zbl 1075.37025
Givental, Alexander B.; Milanov, Todor E.
20
2005
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella. Zbl 0621.58025
Givental’, A. B.
15
1986
Soliton equations, vertex operators, and simple singularities. Zbl 1203.37108
Frenkel, Edward; Givental, Alexander; Milanov, Todor
15
2010
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0731.58023
Givental’, A. B.
14
1988
The Hirzebruch-Riemann-Roch theorem in true genus-0 quantum \(K\)-theory. Zbl 1335.19002
Givental, Alexander; Tonita, Valentin
14
2014
Nonlinear generalization of the Maslov index. Zbl 0728.53024
Givental’, A. B.
11
1990
The mirror formula for quintic threefolds. Zbl 0951.14038
Givental, Alexander
10
1999
Twisted Picard-Lefschetz formulas. Zbl 0665.32011
Givental’, A. B.
10
1988
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
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0900.58013
Givental’, A. B.
9
1988
A symplectic fixed point theorem for toric manifolds. Zbl 0835.55001
Givental, A. B.
6
1995
Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Zbl 1354.01038
Arnold, Vladimir I.
6
2014
Permutation-equivariant quantum \(K\)-theory. I: Definitions. Elementary \(K\)-theory of \(\overline {\mathcal M}_{0,n}/S_n\). Zbl 1411.14065
Givental, Alexander
5
2017
Explicit reconstruction in quantum cohomology and \(K\)-theory. Zbl 1360.14130
Givental, Alexander
5
2016
Period mapping and intersection form. Zbl 0497.32008
Varchenko, A. N.; Givental’, A. B.
5
1982
Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation. Zbl 0508.58020
Givental’, A. B.
5
1982
Mapping of periods and intersection form. Zbl 0513.32018
Varchenko, A. N.; Givental’, A. B.
5
1982
Quantum cobordisms and formal group laws. Zbl 1103.14011
Coates, Tom; Givental, Alexander
5
2006
Moments of random variables and the equivariant Morse lemma. Zbl 0647.57026
Givental’, A. B.
4
1987
Dynamical systems. IV: Symplectic geometry. Zbl 0592.58030
Arnol’d, V. I.; Givental’, A. B.
4
1985
A tutorial on quantum cohomology. Zbl 1037.53510
Givental, Alexander
4
1999
Sturm’s theorem for hyperelliptic integrals. Zbl 0724.58026
Givental’, A. B.
4
1990
Periodic maps in symplectic topology. Zbl 0724.58031
Givental’, A. B.
4
1989
Lagrangian manifolds with singularities and irreducible \(sl_ 2\)- modules. Zbl 0535.58016
Givental’, A. B.
4
1983
Whitney singularities of solutions of partial differential equations. Zbl 0858.35003
Givental, Alexander B.
3
1995
The nonlinear Maslov index. Zbl 0725.57013
Givental, A. B.
3
1990
Vladimir I. Arnold – Collected works. Vol. I. Representations of functions, celestial mechanics, and KAM theory 1957-1965. Edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vissilev, Oleg Ya. Viro and Vladimir M. Zakalyukin. Zbl 1187.01033
Arnold, Vladimir I.
2
2010
Maximum number of singular points on a projective hypersurface. Zbl 0529.14022
Givental’, A. B.
2
1983
Permutation-equivariant quantum \(K\)-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
2
2020
Quantum K-theory of Grassmannians and non-abelian localization. Zbl 1471.14113
Givental, Alexander; Yan, Xiaohan
1
2021
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
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
Quantum K-theory of Grassmannians and non-abelian localization. Zbl 1471.14113
Givental, Alexander; Yan, Xiaohan
1
2021
Permutation-equivariant quantum \(K\)-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0. Zbl 1437.14055
Givental, Alexander
2
2020
Permutation-equivariant quantum \(K\)-theory. I: Definitions. Elementary \(K\)-theory of \(\overline {\mathcal M}_{0,n}/S_n\). Zbl 1411.14065
Givental, Alexander
5
2017
Explicit reconstruction in quantum cohomology and \(K\)-theory. Zbl 1360.14130
Givental, Alexander
5
2016
The Hirzebruch-Riemann-Roch theorem in true genus-0 quantum \(K\)-theory. Zbl 1335.19002
Givental, Alexander; Tonita, Valentin
14
2014
Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Zbl 1354.01038
Arnold, Vladimir I.
6
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
15
2010
Vladimir I. Arnold – Collected works. Vol. I. Representations of functions, celestial mechanics, and KAM theory 1957-1965. Edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vissilev, Oleg Ya. Viro and Vladimir M. Zakalyukin. Zbl 1187.01033
Arnold, Vladimir I.
2
2010
Quantum Riemann-Roch, Lefschetz and Serre. Zbl 1189.14063
Coates, Tom; Givental, Alexander
88
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.
20
2005
Symplectic geometry of Frobenius structures. Zbl 1075.53091
Givental, Alexander B.
63
2004
Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups. Zbl 1051.14063
Givental, Alexander; Lee, Yuan-Pin
48
2003
\(A_{n-1}\) singularities and \(n\)KdV hierarchies. Zbl 1054.14067
Givental, Alexander
22
2003
Gromov-Witten invariants and quantization of quadratic Hamiltonians. Zbl 1008.53072
Givental, Alexander B.
141
2001
Semisimple Frobenius structures at higher genus. Zbl 1074.14532
Givental, Alexander B.
88
2001
Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114
Eliashberg, Y.; Givental, A.; Hofer, H.
195
2000
On the WDVV equation in quantum \(K\)-theory. Zbl 1081.14523
Givental, Alexander
21
2000
The mirror formula for quintic threefolds. Zbl 0951.14038
Givental, Alexander
10
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
86
1998
Elliptic Gromov-Witten invariants and the generalized mirror conjecture. Zbl 0961.14036
Givental, Alexander
34
1998
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Zbl 0895.32006
Givental, Alexander
63
1997
Equivariant Gromov-Witten invariants. Zbl 0881.55006
Givental, Alexander B.
170
1996
Quantum cohomology of flag manifolds and Toda lattices. Zbl 0828.55004
Givental, Alexander; Kim, Bumsig
72
1995
Homological geometry and mirror symmetry. Zbl 0863.14021
Givental, Alexander B.
41
1995
Homological geometry. I: Projective hypersurfaces. Zbl 0920.14028
Givental, A. B.
26
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.
3
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.
4
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.
14
1988
Twisted Picard-Lefschetz formulas. Zbl 0665.32011
Givental’, A. B.
10
1988
Singular Lagrangian manifolds and their Lagrangian maps. Zbl 0900.58013
Givental’, A. B.
9
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.
15
1986
Symplectic geometry. Zbl 0780.58016
Arnol’d, V. I.; Givental’, A. B.
27
1985
Dynamical systems. IV: Symplectic geometry. Zbl 0592.58030
Arnol’d, V. I.; Givental’, A. B.
4
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
Period mapping and intersection form. Zbl 0497.32008
Varchenko, A. N.; Givental’, A. B.
5
1982
Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation. Zbl 0508.58020
Givental’, A. B.
5
1982
Mapping of periods and intersection form. Zbl 0513.32018
Varchenko, A. N.; Givental’, A. B.
5
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 803 Authors

20 Pandharipande, Rahul
19 Tseng, Hsian-Hua
18 Iritani, Hiroshi
18 Shadrin, Sergey V.
17 Milanov, Todor E.
15 Ruan, Yongbin
14 Kim, Bumsig
12 Ciocan-Fontanine, Ionuţ
12 Coates, Tom
12 Zhang, Youjin
11 Okun’kov, Andreĭ Yur’evich
11 Rietsch, Konstanze
10 Buryak, Alexandr Y.
10 Ekholm, Tobias
10 Lee, Yuan-Pin
10 Liu, Siqi
10 Rossi, Paolo
10 Varchenko, Alexander Nikolaevich
9 Cieliebak, Kai
9 Dubrovin, Boris Anatol’evich
9 Norbury, Paul T.
9 Oblezin, Sergey V.
9 Przhiyalkovskiĭ, Viktor Vladimirovich
9 Woodward, Christopher T.
8 Bourgeois, Frédéric
8 Dimitroglou Rizell, Georgios
8 Eliashberg, Yakov Matveevich
8 Etnyre, John B.
8 Gerasimov, Anton A.
8 Honda, Ko
8 Jinzenji, Masao
8 Mihalcea, Leonardo Constantin
7 Brini, Andrea
7 Colin, Vincent
7 Dunin-Barkovskiĭ, Petr Igorevich
7 Fang, Bohan
7 Givental, Alexander Borisovich
7 Liu, Chiu-Chu Melissa
7 Sabloff, Joshua M.
7 Zinger, Aleksey
6 Ginzburg, Viktor L’vovich
6 Hutchings, Michael Lounsbery
6 Ishikawa, Goo
6 Jockers, Hans
6 Lebedev, Dimitri R.
6 Ng, Lenhard L.
6 Orantin, Nicolas
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 Fan, Honglu
5 Feigin, Evgeny
5 Frauenfelder, Urs Adrian
5 Guo, Shuai
5 Hind, Richard K.
5 Hofer, Helmut H. W.
5 Jarvis, Tyler J.
5 Lho, Hyenho
5 Li, Changzheng
5 Li, Si
5 Macarini, Leonardo
5 O’Connell, Neil
5 Shoemaker, Mark
5 Tarasov, Vitaly Olegovich
5 Yang, Di
5 Yoshida, Yutaka
5 Zvonkine, Dimitri
4 Alves, Marcelo R. R.
4 Basalaev, Alexey
4 Bonelli, Giulio
4 Borot, Gaëtan
4 Braverman, Alexander
4 Carlet, Guido
4 Casals, Roger
4 Chang, Huai-Liang
4 Chekhov, Leonid O.
4 Corti, Alessio
4 Corwin, Ivan Z.
4 Cotti, Giordano
4 Dimofte, Tudor Dan
4 Fan, Huijun
4 Finkelberg, Michael Vladlenovich
4 Fukaya, Kenji
4 Gonzalez, Eduardo
4 Gürel, Basak Zehra
4 Hryniewicz, Umberto L.
4 Janda, Felix
4 Kirillov, Anatol N.
4 Latschev, Janko
4 Li, Jun
4 Mann, Etienne
4 Maulik, Davesh
4 Orr, Daniel
4 Paternain, Gabriel Pedro
...and 703 more Authors
all top 5

Cited in 174 Serials

73 Advances in Mathematics
52 Communications in Mathematical Physics
45 Geometry & Topology
39 Journal of Geometry and Physics
33 Duke Mathematical Journal
32 Letters in Mathematical Physics
26 Inventiones Mathematicae
19 Selecta Mathematica. New Series
19 Journal of High Energy Physics
17 Annales de l’Institut Fourier
17 Mathematische Annalen
16 Journal of the American Mathematical Society
15 Mathematische Zeitschrift
14 Transactions of the American Mathematical Society
14 Algebraic & Geometric Topology
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Michigan Mathematical Journal
11 Journal of the European Mathematical Society (JEMS)
10 Nuclear Physics. B
10 Proceedings of the American Mathematical Society
10 Geometric and Functional Analysis. GAFA
9 Geometriae Dedicata
9 Journal für die Reine und Angewandte Mathematik
9 Journal of Algebraic Geometry
9 Journal of Fixed Point Theory and Applications
8 Journal of Mathematical Physics
8 Functional Analysis and its Applications
8 International Journal of Mathematics
8 Acta Mathematica Sinica. English Series
7 Manuscripta Mathematica
7 Forum of Mathematics, Sigma
6 Compositio Mathematica
6 Journal of Algebra
6 Differential Geometry and its Applications
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Topology
5 Physica D
5 Science China. Mathematics
5 Forum of Mathematics, Pi
4 Theoretical and Mathematical Physics
4 Acta Mathematica
4 Publications Mathématiques
4 Memoirs of the American Mathematical Society
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Topology and its Applications
4 Expositiones Mathematicae
4 Transformation Groups
4 Annales Henri Poincaré
4 Quantum Topology
4 Arnold Mathematical Journal
4 European Journal of Mathematics
3 International Journal of Modern Physics A
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Russian Mathematical Surveys
3 Journal of Functional Analysis
3 Nagoya Mathematical Journal
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 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Annals of Mathematics. Second Series
3 Central European Journal of Mathematics
3 Journal of Topology and Analysis
3 Japanese Journal of Mathematics. 3rd Series
3 Kyoto 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 Archiv der Mathematik
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 Ergodic Theory and Dynamical Systems
2 Bulletin of the Korean Mathematical Society
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
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 Russian Journal of Mathematical Physics
2 Mathematical Physics, Analysis and Geometry
2 Advances in Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
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
...and 74 more Serials
all top 5

Cited in 50 Fields

472 Algebraic geometry (14-XX)
421 Differential geometry (53-XX)
154 Dynamical systems and ergodic theory (37-XX)
133 Manifolds and cell complexes (57-XX)
129 Quantum theory (81-XX)
89 Several complex variables and analytic spaces (32-XX)
64 Nonassociative rings and algebras (17-XX)
61 Global analysis, analysis on manifolds (58-XX)
33 Special functions (33-XX)
33 Partial differential equations (35-XX)
27 Combinatorics (05-XX)
27 Algebraic topology (55-XX)
24 Statistical mechanics, structure of matter (82-XX)
21 Topological groups, Lie groups (22-XX)
21 Ordinary differential equations (34-XX)
20 \(K\)-theory (19-XX)
20 Group theory and generalizations (20-XX)
14 Number theory (11-XX)
13 Associative rings and algebras (16-XX)
13 Probability theory and stochastic processes (60-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Category theory; homological algebra (18-XX)
8 Convex and discrete geometry (52-XX)
8 Mechanics of particles and systems (70-XX)
7 Commutative algebra (13-XX)
7 Difference and functional equations (39-XX)
6 Field theory and polynomials (12-XX)
6 Operator theory (47-XX)
6 Relativity and gravitational theory (83-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Geometry (51-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 Functions of a complex variable (30-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Computer science (68-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 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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