String topology on Gorenstein spaces

Details String topology on Gorenstein spaces String topology on Gorenstein spaces

2008-06-17

arxiv.org/abs/0806.2828v1

Mathematics

Algebraic Topology

30 pages and 2 figures

Scientific paper

The purpose of this paper is to describe a general and simple setting for defining $(g,p+q)$-string operations on a Poincar\'e duality space and more generally on a Gorenstein space. Gorenstein spaces include Poincar\'e 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.

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