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Homological realization of Nakajima varieties and Weyl group actions
Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann
We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.
math.QA2003
Categorifications of the colored Jones polynomial
Mikhail Khovanov
The colored Jones polynomial of links has two natural normalizations: one in which the n-colored unknot evaluates to [n+1], the quantum dimension of the (n+1)-dimensional irreducib…