7 citations · 7 across the 2 of their papers we have counts for
5 papers · 1 filter
Brauer groups and crepant resolutions
Vladimir Baranovsky, Tihomir Petrov
We suggest a twisted version of the categorical McKay correspondence and prove several results related to it.
Orbifold Cohomology as Periodic Cyclic Homology
Vladimir Baranovsky
It known from the work of Feigin-Tsygan, Weibel and Keller that the cohomology groups of a smooth complex variety X can be recovered from (roughly speaking) its derived category of…
Wilson's grassmannian and a noncommutative Quadric
Vladimir Baranovsky, Victor Ginzburg, Alexander Kuznetsov
Let the group G of m-th roots of unity act on the complex line by multiplication, inducing an action on the algebra, Diff, of polynomial differential operators on the line. Followi…
Quiver varieties and a non-commutative P^2
Vladimir Baranovsky, Victor Ginzburg, Alexander Kuznetsov
To any finite group G in SL_2(C), and each `t' in the center of the group algebra of G, we associate a category, Coh_t. It is defined as a suitable quotient of the category of grad…
Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra
Vladimir Baranovsky
Let S be a smooth projective algebraic surface. Generalizing results of Nakajima and Grojnowski, we construct (under some assumptions) an action of the oscillator algebra associate…