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papers

Publications (45)

q-alg1997

Kazhdan-Lusztig polynomials and canonical basis

Igor Frenkel, Mikhail Khovanov, Alexander Kirillov

math.RT2016

Linearization and categorification

Mikhail Khovanov

math.QA2014

A categorification of the positive half of quantum gl(m|1)

Mikhail Khovanov, Joshua Sussan

math.QA2006

Hopfological algebra and categorification at a root of unity: the first steps

Mikhail Khovanov

math.QA2013

The Hopf algebra of odd symmetric functions

Alexander P. Ellis, Mikhail Khovanov

math.QA2010

Categorification of the polynomial ring

Mikhail Khovanov, Radmila Sazdanovic

math.QA2010

Categorifications from planar diagrammatics

Mikhail Khovanov

math.RT2006

A categorification of integral Specht modules

Mikhail Khovanov, Volodymyr Mazorchuk, Catharina Stroppel

math.QA2013

Positive half of the Witt algebra acts on triply graded link homology

Mikhail Khovanov, Lev Rozansky

math.QA2004

sl(3) link homology

Mikhail Khovanov

math.QA2007

Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial

Mikhail Khovanov, Lev Rozansky

math.QA2007

Braid cobordisms, triangulated categories, and flag varieties

Mikhail Khovanov, Richard Thomas

math.RT1999

NilCoxeter algebras categorify the Weyl algebra

Mikhail Khovanov

math.QA2010

How to categorify one-half of quantum gl(1|2)

Mikhail Khovanov

math.QA2006

An invariant of tangle cobordisms via subquotients of arc rings

Yanfeng Chen, Mikhail Khovanov

math.QA2002

A functor-valued invariant of tangles

Mikhail Khovanov

math.QA2006

Matrix factorizations and link homology II

Mikhail Khovanov, Lev Rozansky

math.QA2011

A categorification of the Casimir of quantum sl(2)

Anna Beliakova, Mikhail Khovanov, Aaron D. Lauda

math.QA2005

A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products

Igor Frenkel, Mikhail Khovanov, Catharina Stroppel

math.QA2003

Homological realization of Nakajima varieties and Weyl group actions

Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann

math.QA2011

The odd nilHecke algebra and its diagrammatics

Alexander P. Ellis, Mikhail Khovanov, Aaron D. Lauda

math.GT2006

Triply-graded link homology and Hochschild homology of Soergel bimodules

Mikhail Khovanov

math.QA2002

An invariant of tangle cobordisms

Mikhail Khovanov

math.QA2008

Notes on link homology

Marta Asaeda, Mikhail Khovanov

math.RT2016

Diagrammatics for Soergel categories

Ben Elias, Mikhail Khovanov

math.RT2007

A brief review of abelian categorifications

Mikhail Khovanov, Volodymyr Mazorchuk, Catharina Stroppel

math.QA2006

Link homology and Frobenius extensions

Mikhail Khovanov

math.QA2002

Patterns in knot cohomology I

Mikhail Khovanov

math.QA2008

A diagrammatic approach to categorification of quantum groups III

Mikhail Khovanov, Aaron D. Lauda

math.QA2006

Link homology and categorification

Mikhail Khovanov

math.QA1999

A categorification of the Jones polynomial

Mikhail Khovanov

math.QA2003

Categorifications of the colored Jones polynomial

Mikhail Khovanov

math.QA2016

The Soergel category and the redotted Webster algebra

Mikhail Khovanov, Joshua Sussan

math.QA2010

Extended graphical calculus for categorified quantum sl(2)

Mikhail Khovanov, Aaron D. Lauda, Marco Mackaay +1

math.QA2001

Quivers, Floer cohomology, and braid group actions

Mikhail Khovanov, Paul Seidel

hep-th1994

Representations of tensor categories and Dynkin diagrams

Pavel Etingof, Mikhail Khovanov

math.RT2010

Heisenberg algebra and a graphical calculus

Mikhail Khovanov

math.QA2000

A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors

Joseph Bernstein, Igor Frenkel, Mikhail Khovanov

q-alg1998

Web bases for sl(3) are not dual canonical

Mikhail Khovanov, Greg Kuperberg

math.QA2004

Matrix factorizations and link homology

Mikhail Khovanov, Lev Rozansky

math.QA2001

A category for the adjoint representation

Ruth Stella Huerfano, Mikhail Khovanov

math.QA2002

Categorification of some level two representations of sl(n)

Ruth Stella Huerfano, Mikhail Khovanov

math.QA2008

A diagrammatic approach to categorification of quantum groups II

Mikhail Khovanov, Aaron D. Lauda

math.QA2013

An approach to categorification of some small quantum groups

Mikhail Khovanov, You Qi

math.QA2002

Crossingless matchings and the cohomology of (n,n) Springer varieties

Mikhail Khovanov