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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…