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Khovanov, Mikhail G.

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Author ID: khovanov.mikhail-g Recent zbMATH articles by "Khovanov, Mikhail G."
Published as: Khovanov, M. G.; Khovanov, Michael; Khovanov, Mikhail; Khovanov, Mikhail G.
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Documents Indexed: 60 Publications since 1995, including 3 Books

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 2,183 times in 998 Documents Cited by Year
A categorification of the Jones polynomial. Zbl 0960.57005
Khovanov, Mikhail
348
2000
A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117
Khovanov, Mikhail; Lauda, Aaron D.
209
2009
Matrix factorizations and link homology. Zbl 1145.57009
Khovanov, Mikhail; Rozansky, Lev
173
2008
Matrix factorizations and link homology. II. Zbl 1146.57018
Khovanov, Mikhail; Rozansky, Lev
111
2008
A functor-valued invariant of tangles. Zbl 1002.57006
Khovanov, Mikhail
107
2002
A diagrammatic approach to categorification of quantum groups. II. Zbl 1214.81113
Khovanov, Mikhail; Lauda, Aaron D.
105
2011
A categorification of quantum \(\text{sl}(n)\). Zbl 1206.17015
Khovanov, Mikhail; Lauda, Aaron D.
96
2010
Quivers, Floer cohomology, and braid group actions. Zbl 1035.53122
Khovanov, Mikhail; Seidel, Paul
82
2002
A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors. Zbl 0981.17001
Bernstein, Joseph; Frenkel, Igor; Khovanov, Mikhail
73
1999
\(\text{sl}(3)\) link homology. Zbl 1159.57300
Khovanov, Mikhail
70
2004
Patterns in knot cohomology. I. Zbl 1073.57007
Khovanov, Mikhail
68
2003
Triply-graded link homology and Hochschild homology of Soergel bimodules. Zbl 1124.57003
Khovanov, Mikhail
65
2007
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
52
1997
Diagrammatics for Soergel categories. Zbl 1219.18003
Elias, Ben; Khovanov, Mikhail
39
2010
Link homology and Frobenius extensions. Zbl 1101.57004
Khovanov, Mikhail
39
2006
A categorification of finite-dimensional irreducible representations of quantum \({\mathfrak{sl}_2}\) and their tensor products. Zbl 1188.17011
Frenkel, Igor; Khovanov, Mikhail; Stroppel, Catharina
38
2006
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
34
2005
A category for the adjoint representation. Zbl 1026.17015
Huerfano, Ruth Stella; Khovanov, Mikhail
33
2001
Web bases for \(\text{sl}(3)\) are not dual canonical. Zbl 0929.17012
Khovanov, Mikhail; Kuperberg, Greg
33
1999
Heisenberg algebra and a graphical calculus. Zbl 1304.18019
Khovanov, Mikhail
30
2014
An invariant of tangle cobordisms. Zbl 1084.57021
Khovanov, Mikhail
30
2006
Crossingless matchings and the cohomology of \((n,n)\) Springer varieties. Zbl 1079.57009
Khovanov, Mikhail
29
2004
Extended graphical calculus for categorified quantum \(\mathrm{sl}(2)\). Zbl 1292.17013
Khovanov, Mikhail; Lauda, Aaron D.; Mackaay, Marco; Stošić, Marko
24
2012
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
24
1998
Virtual crossings, convolutions and a categorification of the \(\text{SO}(2N)\) Kauffman polynomial. Zbl 1182.57009
Khovanov, Mikhail; Rozansky, Lev
23
2007
An invariant of tangle cobordisms via subquotients of arc rings. Zbl 1321.57031
Chen, Yanfeng; Khovanov, Mikhail
21
2014
Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008
Khovanov, Mikhail; Thomas, Richard
21
2007
NilCoxeter algebras categorify the Weyl algebra. Zbl 1018.16015
Khovanov, Mikhail
20
2001
The odd nil-Hecke algebra and its diagrammatics. Zbl 1356.20004
Ellis, Alexander P.; Khovanov, Mikhail; Lauda, Aaron D.
17
2014
Categorifications from planar diagrammatics. Zbl 1226.81094
Khovanov, Mikhail
17
2010
Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017
Khovanov, Mikhail
16
2016
Doodle groups. Zbl 0869.57001
Khovanov, Mikhail
16
1997
An approach to categorification of some small quantum groups. Zbl 1352.81038
Khovanov, Mikhail; Qi, You
14
2015
Topological Landau-Ginzburg models on the world-sheet foam. Zbl 1137.81041
Khovanov, Mikhail; Rozansky, Lev
13
2007
Categorification of some level two representations of quantum \(\mathfrak{sl}_n\). Zbl 1165.17006
Huerfano, Ruth Stella; Khovanov, Mikhail
13
2006
How to categorify one-half of quantum \(\mathfrak{gl}(1|2)\). Zbl 1309.81113
Khovanov, Mikhail
11
2014
A brief review of abelian categorifications. Zbl 1181.18005
Khovanov, Mikhail; Mazorchuk, Volodymyr; Stroppel, Catharina
9
2009
A categorification of integral Specht modules. Zbl 1147.17010
Khovanov, Mikhail; Mazorchuk, Volodymyr; Stroppel, Catharina
8
2008
Link homology and categorification. Zbl 1099.57008
Khovanov, Mikhail
8
2006
Real \(K(\pi ,1)\) arrangements from finite root systems. Zbl 0861.55010
Khovanov, Mikhail
8
1996
Erratum to: “A categorification of quantum \(\text{sl}(n)\)”. Zbl 1210.17021
Khovanov, Mikhail; Lauda, Aaron D.
7
2011
Representations of tensor categories and Dynkin diagrams. Zbl 0854.17016
Etingof, Pavel; Khovanov, Michael
7
1995
The Hopf algebra of odd symmetric functions. Zbl 1248.05210
Ellis, Alexander P.; Khovanov, Mikhail
5
2012
A categorification of the positive half of quantum \(gl(m|1)\). Zbl 1388.16008
Khovanov, Mikhail; Sussan, Joshua
4
2017
Positive half of the Witt algebra acts on triply graded link homology. Zbl 1376.57015
Khovanov, Mikhail; Rozansky, Lev
3
2016
A categorification of the Casimir of quantum \(\mathfrak{sl}(2)\). Zbl 1326.17009
Beliakova, Anna; Khovanov, Mikhail; Lauda, Aaron D.
3
2012
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
3
2005
Physics and mathematics of link homology. Papers from the summer school held as part of the Séminaire de Mathématiques Supérieures at the Centre de Recherches Mathématiques, Université de Montreal, Montréal, QC, Canada, June 24 – July 5, 2013. Zbl 1369.57001
Gukov, Sergei (ed.); Khovanov, Mikhail (ed.); Walcher, Johannes (ed.)
1
2017
Linearization and categorification. Zbl 1354.81031
Khovanov, Mikhail
1
2016
Categorifications of the polynomial ring. Zbl 1335.16016
Khovanov, Mikhail; Sazdanovic, Radmila
1
2015
Notes on link homology. Zbl 1194.57001
Asaeda, Marta; Khovanov, Mikhail
1
2009
A categorification of the positive half of quantum \(gl(m|1)\). Zbl 1388.16008
Khovanov, Mikhail; Sussan, Joshua
4
2017
Physics and mathematics of link homology. Papers from the summer school held as part of the Séminaire de Mathématiques Supérieures at the Centre de Recherches Mathématiques, Université de Montreal, Montréal, QC, Canada, June 24 – July 5, 2013. Zbl 1369.57001
Gukov, Sergei (ed.); Khovanov, Mikhail (ed.); Walcher, Johannes (ed.)
1
2017
Hopfological algebra and categorification at a root of unity: the first steps. Zbl 1370.18017
Khovanov, Mikhail
16
2016
Positive half of the Witt algebra acts on triply graded link homology. Zbl 1376.57015
Khovanov, Mikhail; Rozansky, Lev
3
2016
Linearization and categorification. Zbl 1354.81031
Khovanov, Mikhail
1
2016
An approach to categorification of some small quantum groups. Zbl 1352.81038
Khovanov, Mikhail; Qi, You
14
2015
Categorifications of the polynomial ring. Zbl 1335.16016
Khovanov, Mikhail; Sazdanovic, Radmila
1
2015
Heisenberg algebra and a graphical calculus. Zbl 1304.18019
Khovanov, Mikhail
30
2014
An invariant of tangle cobordisms via subquotients of arc rings. Zbl 1321.57031
Chen, Yanfeng; Khovanov, Mikhail
21
2014
The odd nil-Hecke algebra and its diagrammatics. Zbl 1356.20004
Ellis, Alexander P.; Khovanov, Mikhail; Lauda, Aaron D.
17
2014
How to categorify one-half of quantum \(\mathfrak{gl}(1|2)\). Zbl 1309.81113
Khovanov, Mikhail
11
2014
Extended graphical calculus for categorified quantum \(\mathrm{sl}(2)\). Zbl 1292.17013
Khovanov, Mikhail; Lauda, Aaron D.; Mackaay, Marco; Stošić, Marko
24
2012
The Hopf algebra of odd symmetric functions. Zbl 1248.05210
Ellis, Alexander P.; Khovanov, Mikhail
5
2012
A categorification of the Casimir of quantum \(\mathfrak{sl}(2)\). Zbl 1326.17009
Beliakova, Anna; Khovanov, Mikhail; Lauda, Aaron D.
3
2012
A diagrammatic approach to categorification of quantum groups. II. Zbl 1214.81113
Khovanov, Mikhail; Lauda, Aaron D.
105
2011
Erratum to: “A categorification of quantum \(\text{sl}(n)\)”. Zbl 1210.17021
Khovanov, Mikhail; Lauda, Aaron D.
7
2011
A categorification of quantum \(\text{sl}(n)\). Zbl 1206.17015
Khovanov, Mikhail; Lauda, Aaron D.
96
2010
Diagrammatics for Soergel categories. Zbl 1219.18003
Elias, Ben; Khovanov, Mikhail
39
2010
Categorifications from planar diagrammatics. Zbl 1226.81094
Khovanov, Mikhail
17
2010
A diagrammatic approach to categorification of quantum groups. I. Zbl 1188.81117
Khovanov, Mikhail; Lauda, Aaron D.
209
2009
A brief review of abelian categorifications. Zbl 1181.18005
Khovanov, Mikhail; Mazorchuk, Volodymyr; Stroppel, Catharina
9
2009
Notes on link homology. Zbl 1194.57001
Asaeda, Marta; Khovanov, Mikhail
1
2009
Matrix factorizations and link homology. Zbl 1145.57009
Khovanov, Mikhail; Rozansky, Lev
173
2008
Matrix factorizations and link homology. II. Zbl 1146.57018
Khovanov, Mikhail; Rozansky, Lev
111
2008
A categorification of integral Specht modules. Zbl 1147.17010
Khovanov, Mikhail; Mazorchuk, Volodymyr; Stroppel, Catharina
8
2008
Triply-graded link homology and Hochschild homology of Soergel bimodules. Zbl 1124.57003
Khovanov, Mikhail
65
2007
Virtual crossings, convolutions and a categorification of the \(\text{SO}(2N)\) Kauffman polynomial. Zbl 1182.57009
Khovanov, Mikhail; Rozansky, Lev
23
2007
Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008
Khovanov, Mikhail; Thomas, Richard
21
2007
Topological Landau-Ginzburg models on the world-sheet foam. Zbl 1137.81041
Khovanov, Mikhail; Rozansky, Lev
13
2007
Link homology and Frobenius extensions. Zbl 1101.57004
Khovanov, Mikhail
39
2006
A categorification of finite-dimensional irreducible representations of quantum \({\mathfrak{sl}_2}\) and their tensor products. Zbl 1188.17011
Frenkel, Igor; Khovanov, Mikhail; Stroppel, Catharina
38
2006
An invariant of tangle cobordisms. Zbl 1084.57021
Khovanov, Mikhail
30
2006
Categorification of some level two representations of quantum \(\mathfrak{sl}_n\). Zbl 1165.17006
Huerfano, Ruth Stella; Khovanov, Mikhail
13
2006
Link homology and categorification. Zbl 1099.57008
Khovanov, Mikhail
8
2006
Categorifications of the colored Jones polynomial. Zbl 1083.57019
Khovanov, Mikhail
34
2005
Homological realization of Nakajima varieties and Weyl group actions. Zbl 1095.17002
Frenkel, Igor; Khovanov, Mikhail; Schiffmann, Olivier
3
2005
\(\text{sl}(3)\) link homology. Zbl 1159.57300
Khovanov, Mikhail
70
2004
Crossingless matchings and the cohomology of \((n,n)\) Springer varieties. Zbl 1079.57009
Khovanov, Mikhail
29
2004
Patterns in knot cohomology. I. Zbl 1073.57007
Khovanov, Mikhail
68
2003
A functor-valued invariant of tangles. Zbl 1002.57006
Khovanov, Mikhail
107
2002
Quivers, Floer cohomology, and braid group actions. Zbl 1035.53122
Khovanov, Mikhail; Seidel, Paul
82
2002
A category for the adjoint representation. Zbl 1026.17015
Huerfano, Ruth Stella; Khovanov, Mikhail
33
2001
NilCoxeter algebras categorify the Weyl algebra. Zbl 1018.16015
Khovanov, Mikhail
20
2001
A categorification of the Jones polynomial. Zbl 0960.57005
Khovanov, Mikhail
348
2000
A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors. Zbl 0981.17001
Bernstein, Joseph; Frenkel, Igor; Khovanov, Mikhail
73
1999
Web bases for \(\text{sl}(3)\) are not dual canonical. Zbl 0929.17012
Khovanov, Mikhail; Kuperberg, Greg
33
1999
Kazhdan-Lusztig polynomials and canonical basis. Zbl 0918.17012
Frenkel, I. B.; Khovanov, M. G.; Kirillov, A. A. jun.
24
1998
Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\). Zbl 0883.17013
Frenkel, Igor B.; Khovanov, Mikhail G.
52
1997
Doodle groups. Zbl 0869.57001
Khovanov, Mikhail
16
1997
Real \(K(\pi ,1)\) arrangements from finite root systems. Zbl 0861.55010
Khovanov, Mikhail
8
1996
Representations of tensor categories and Dynkin diagrams. Zbl 0854.17016
Etingof, Pavel; Khovanov, Michael
7
1995
all top 5

Cited by 766 Authors

30 Khovanov, Mikhail G.
27 Mazorchuk, Volodymyr
24 Lauda, Aaron D.
24 Stroppel, Catharina H.
21 Brundan, Jonathan
19 Cautis, Sabin
19 Kleshchev, Alexander S.
19 Webster, Ben
17 Mackaay, Marco
17 Morozov, Alexei Yurievich
17 Oh, Se-jin
16 Savage, Alistair
15 Kashiwara, Masaki
15 Ozsváth, Peter Steven
13 Licata, Anthony M.
13 Sussan, Joshua
12 Kang, Seok-Jin
12 Kim, Myungho
12 Szabo, Zoltan
11 Beliakova, Anna
11 Lipshitz, Robert
11 Mironov, Andrei D.
11 Stošić, Marko
11 Wang, Weiqiang
11 Williamson, Geordie
10 Elias, Benjamin
10 Kauffman, Louis Hirsch
10 Miemietz, Vanessa
10 Park, Euiyong
10 Przytycki, Józef H.
10 Qi, You
10 Tubbenhauer, Daniel
10 Wu, Hao
9 Kamnitzer, Joel
9 Vaz, Pedro
8 Gukov, Sergei
8 Hogancamp, Matthew
8 Hu, Jun
8 Lobb, Andrew
8 Manturov, Vassiliĭ Olegovich
8 Sarkar, Sucharit
8 Seidel, Paul
8 Wehrli, Stephan M.
7 Caprau, Carmen Livia
7 Grigsby, Julia Elisenda
7 Hedden, Matthew
7 Ito, Noboru
7 Li, Yiqiang
7 Manolescu, Ciprian
7 Mathas, Andrew
7 Morozov, Andreĭ Alekseevich
7 Morrison, Scott
7 Smith, Ivan
7 Turner, Paul R.
7 Zhang, Xiaoting
6 Cooper, Benjamin
6 Ellis, Alexander P.
6 Evseev, Anton
6 Oblomkov, Alexei A.
6 Qiu, Yu
6 Robert, Louis-Hadrien
6 Roberts, Lawrence P.
6 Rozansky, Lev
6 Westbury, Bruce W.
5 Audoux, Benjamin
5 Brenti, Francesco
5 Carqueville, Nils
5 Cherednik, Ivan V.
5 Clark, Sean
5 Ehrig, Michael
5 Frenkel, Igor B.
5 Gorsky, Eugene
5 Hill, David C.
5 Lewark, Lukas
5 Libedinsky, Nicolas
5 Lowrance, Adam M.
5 Manion, Andrew
5 Queffelec, Hoel
5 Rong, Yongwu
5 Rosso, Daniele
5 Russell, Heather M.
5 Sartori, Antonio
5 Speyer, Liron
5 Tymoczko, Julianna S.
4 Abel, Michael
4 Abouzaid, Mohammed
4 Ariki, Susumu
4 Baldwin, John A.
4 Bar-Natan, Dror
4 Champanerkar, Abhijit
4 Dasbach, Oliver T.
4 Everitt, Brent
4 Gómez Larrañaga, José Carlos
4 González Acuña, Francisco Javier
4 Heil, Wolfgang H.
4 Kvinge, Henry
4 Lee, Christine Ruey Shan
4 Murfet, Daniel
4 Muth, Robert
4 Nawata, Satoshi
...and 666 more Authors
all top 5

Cited in 142 Serials

104 Journal of Knot Theory and its Ramifications
80 Advances in Mathematics
55 Algebraic & Geometric Topology
54 Journal of Algebra
36 Transactions of the American Mathematical Society
30 Geometry & Topology
30 Quantum Topology
28 Journal of High Energy Physics
26 Selecta Mathematica. New Series
25 Journal of Pure and Applied Algebra
23 Duke Mathematical Journal
22 Mathematische Zeitschrift
20 Communications in Mathematical Physics
17 Compositio Mathematica
17 Topology and its Applications
16 Mathematische Annalen
16 Proceedings of the American Mathematical Society
16 Journal of Algebraic Combinatorics
14 Inventiones Mathematicae
14 Algebras and Representation Theory
13 Representation Theory
12 Transformation Groups
11 Communications in Algebra
9 Journal of the European Mathematical Society (JEMS)
8 Theoretical and Mathematical Physics
8 Proceedings of the London Mathematical Society. Third Series
8 Journal of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
7 International Journal of Mathematics and Mathematical Sciences
7 Memoirs of the American Mathematical Society
7 Communications in Contemporary Mathematics
7 Journal of Topology
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Combinatorial Theory. Series A
6 Pacific Journal of Mathematics
6 Séminaire Lotharingien de Combinatoire
5 International Journal of Modern Physics A
5 International Journal of Mathematics
5 Experimental Mathematics
5 Algebraic Combinatorics
4 Letters in Mathematical Physics
4 Fundamenta Mathematicae
4 Geometriae Dedicata
4 Journal für die Reine und Angewandte Mathematik
4 Osaka Journal of Mathematics
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 European Journal of Combinatorics
4 Documenta Mathematica
4 Journal of the Institute of Mathematics of Jussieu
4 Journal of Algebra and its Applications
3 Journal of Mathematical Physics
3 Journal of Geometry and Physics
3 Beiträge zur Algebra und Geometrie
3 Acta Mathematica Vietnamica
3 Glasgow Mathematical Journal
3 Advances in Applied Mathematics
3 Geometric and Functional Analysis. GAFA
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Frontiers of Mathematics in China
3 Japanese Journal of Mathematics. 3rd Series
3 Forum of Mathematics, Sigma
2 Acta Mathematica
2 Bulletin of the London Mathematical Society
2 Publications Mathématiques
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Discrete & Computational Geometry
2 Revista Matemática Iberoamericana
2 Forum Mathematicum
2 Proceedings of the National Academy of Sciences of the United States of America
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
2 Algebra & Number Theory
2 Involve
2 Journal of Topology and Analysis
2 Science China. Mathematics
2 Kyoto Journal of Mathematics
2 Journal de l’École Polytechnique – Mathématiques
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Moscow University Mathematics Bulletin
1 Nuclear Physics. B
1 Physics Letters. B
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Annales de l’Institut Fourier
1 Canadian Journal of Mathematics
1 Commentarii Mathematici Helvetici
...and 42 more Serials

Citations by Year

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