97 citations · 141 across the 8 of their papers we have counts for
8 papers
Coherent Sheaves, Chern Classes, and Superconnections on Compact Complex-Analytic Manifolds
Alexey Bondal, Alexei Rosly
We construct a twist-closed enhancement of the category , the bounded derived category of complexes of -modules with coherent cohomolog…
Ultraviolet Properties of the Self-Dual Yang-Mills Theory
Andrey Losev, Igor Polyubin, Alexei Rosly
We compute the ultraviolet divergences in the self-dual Yang-Mills theory, both in the purely perturbative (zero instanton charge) and topologically non-trivial sectors. It is show…
A polar complex for locally free sheaves
Sergey Gorchinskiy, Alexei Rosly
We construct the so-called polar complex for an arbitrary locally free sheaf on a smooth variety over a field of characteristic zero. This complex is built from logarithmic forms o…
Polar Homology and Holomorphic Bundles
B. Khesin, A. Rosly
We describe polar homology groups for complex manifolds. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is d…
Polar Homology
Boris Khesin, Alexei Rosly
For complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of comp…
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces
Boris Khesin, Alexei Rosly
We give a comparative description of the Poisson structures on the moduli spaces of flat connections on real surfaces and holomorphic Poisson structures on the moduli spaces of hol…