Algebraic string bracket as a Poisson bracket

Details Algebraic string bracket as a Poisson bracket Algebraic string bracket as a Poisson bracket

2008-07-15

arxiv.org/abs/0807.2351v3

Mathematics

Algebraic Topology

14 Pages

Scientific paper

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.

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