Výsledky vyhledávání - "Rosly, Alexei"

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Coherent Sheaves, Chern Classes, and Superconnections on Compact Complex-Analytic Manifolds

We construct a twist-closed enhancement of the category ${\mathcal D}^b_{\rm coh}(X)$, the bounded derived category of complexes of ${\mathcal O}_X$-modules with coherent cohomology, by means of the DG-category of $\bar\partial$-superconnections. The

Externí odkaz: http://arxiv.org/abs/2211.11112

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Ultraviolet Properties of the Self-Dual Yang-Mills Theory

Autor: Losev, Andrey, Polyubin, Igor, Rosly, Alexei

Publikováno v: J. High Energ. Phys. (2018) 2018: 41

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 shown in particular that the instanton measure is precisely the same as th

Externí odkaz: http://arxiv.org/abs/1711.10026

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A polar complex for locally free sheaves

Autor: Gorchinskiy, Sergey, Rosly, Alexei

Publikováno v: Int. Math. Res. Not. IMRN, 2015, no. 10 (2015), 2784-2829

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 on all irreducible subvarieties with values in a locally free sheaf. We

Externí odkaz: http://arxiv.org/abs/1101.5114

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Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces

Autor: Khesin, Boris, Rosly, Alexei

Publikováno v: FieldsInst.Commun.24:311-323,1999

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 holomorphic bundles on complex surfaces. The symplectic leaves of the lat

Externí odkaz: http://arxiv.org/abs/math/0009013

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Polar Homology

Autor: Khesin, Boris, Rosly, Alexei

Publikováno v: Canad. J. Math., vol. 55, no. 5 (2003) 1100-1120

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 complex dimension k with meromorphic forms on them, while the boundary ope

Externí odkaz: http://arxiv.org/abs/math/0009015

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