String topology on Gorenstein spaces

Abstract

The purpose of this paper is to describe a general and simple setting for defining $(g,p+q)$-string operations on a Poincaré duality space and more generally on a Gorenstein space. Gorenstein spaces include Poincaré duality spaces as well as classifying spaces or homotopy quotients of connected Lie groups. Our presentation implies directly the homotopy invariance of each $(g,p+q)$-string operation as well as it leads to explicit computations.

30 pages and 2 figures

References in corpus (1)

• Loop coproducts in string topology and triviality of higher genus TQFT operations