Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Dolgushev, V. A."'
Autor:
Dolgushev, V. A., Schneider, G. E.
Let $O$ be a differential graded (possibly colored) operad defined over rationals. Let us assume that there exists a zig-zag of quasi-isomorphisms connecting $O \otimes K$ to its cohomology, where $K$ is any field extension of rationals. We show that
Externí odkaz:
http://arxiv.org/abs/1610.04879
This paper deals with two aspects of the theory of characteristic classes of star products: first, on an arbitrary Poisson manifold, we describe Morita equivalent star products in terms of their Kontsevich classes; second, on symplectic manifolds, we
Externí odkaz:
http://arxiv.org/abs/0909.4259
After an overview of noncommutative differential calculus, we construct parts of it explicitly and explain why this construction agrees with a fuller version obtained from the theory of operads.
Comment: Formula in Proposition 2 corrected and th
Comment: Formula in Proposition 2 corrected and th
Externí odkaz:
http://arxiv.org/abs/0902.2202
We give a popular introduction to formality theorems for Hochschild complexes and their applications. We review some of the recent results and prove that the truncated Hochschild cochain complex of a polynomial algebra is non-formal.
Comment: Su
Comment: Su
Externí odkaz:
http://arxiv.org/abs/0901.0069
Autor:
Dolgushev, V. A., Rubtsov, V. N.
The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We prop
Externí odkaz:
http://arxiv.org/abs/0711.0184
Publikováno v:
J.Phys.A36:6979-7000,2003
We present a formula for a classical $r$-matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of the reduction is restricted only by the assumption that the respective
Externí odkaz:
http://arxiv.org/abs/hep-th/0301121
Autor:
Dolgushev, V. A.
Publikováno v:
Commun.Math.Phys. 238 (2003) 131-147
We present a classical $r$-matrix for the Hitchin system without marked points on an arbitrary non-degenerate algebraic curve of genus $g\ge 2$ using Tyurin parameterization of holomorphic vector bundles.
Comment: Version in Commun. Math. Phys
Comment: Version in Commun. Math. Phys
Externí odkaz:
http://arxiv.org/abs/math/0209145
Publikováno v:
Nucl.Phys. B645 (2002) 457-476
A simple iterative procedure is suggested for the deformation quantization of (irregular) Poisson brackets associated to the classical Yang-Baxter equation. The construction is shown to admit a pure algebraic reformulation giving the Universal Deform
Externí odkaz:
http://arxiv.org/abs/hep-th/0206039
Publikováno v:
Nucl.Phys.Proc.Suppl. 102 (2001) 144-149
The notion of the Wick star-product is covariantly introduced for a general symplectic manifold equipped with two transverse polarisations. Along the lines of Fedosov method, the explicit procedure is given to construct the Wick symbols on the manifo
Externí odkaz:
http://arxiv.org/abs/hep-th/0103091
Autor:
Dolgushev, V. A.
Publikováno v:
Mod.Phys.Lett. A16 (2001) 1711
A two-dimensional integrable system being a deformation of the rational Calogero-Moser system is constructed via the symplectic reduction, performed with respect to the Sklyanin algebra action. We explicitly resolve the respective classical equations
Externí odkaz:
http://arxiv.org/abs/hep-th/0102167