Algebraic string bracket as a Poisson bracket
Algebraic Topology
2009-12-23 v3 Algebraic Geometry
Geometric Topology
Abstract
In this paper we construct a Lie algebra representation of the algebraic string bracket on negative cyclic cohomology of an associative algebra with appropriate duality. This is a generalized algebraic version of the main theorem of [AZ] which extends Goldman's results using string topology operations.The main result can be applied to the de Rham complex of a smooth manifold as well as the Dolbeault resolution of the endomorphisms of a holomorphic bundle on a Calabi-Yau manifold.
Cite
@article{arxiv.0807.2351,
title = {Algebraic string bracket as a Poisson bracket},
author = {Hossein Abbaspour and Thomas Tradler and Mahmoud Zeinalian},
journal= {arXiv preprint arXiv:0807.2351},
year = {2009}
}
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14 Pages