Algebraic string bracket as a Poisson bracket

作者:Abbaspour Hossein*; Tradler Thomas; Zeinalian Mahmoud
来源:Journal of Noncommutative Geometry, 2010, 4(3): 331-347.
DOI:10.4171/JNCG/58

摘要

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 to the Dolbeault resolution of the endomorphisms of a holomorphic bundle on a Calabi-Yau manifold.

  • 出版日期2010