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19972005
most citedHopfological algebra and categorification at a root of unity: the first steps

14 citations · 27 across the 6 of their papers we have counts for

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Showing 2000Show all

3 papers · 1 filter

math.QA2000

Quivers, Floer cohomology, and braid group actions

Mikhail Khovanov, Paul Seidel

We consider the derived categories of modules over a certain family A_m of graded rings, and Floer cohomology of Lagrangian intersections in the symplectic manifolds which are the…

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

We identify the Grothendieck group of certain direct sum of singular blocks of the highest weight category for sl(n) with the n-th tensor power of the fundamental (two-dimensional)…

math.QA2000

A category for the adjoint representation

Ruth Stella Huerfano, Mikhail Khovanov

We construct an abelian category C and exact functors in C which on the Grothendieck group descend to the action of a simply-laced quantum group in its adjoint representation. The…