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arXiv · 0806.2828

String topology on Gorenstein spaces

Yves Felix·Jean-claude Thomas
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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.

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Yves Felix, Jean-claude Thomas. 2008-06-17. String topology on Gorenstein spaces. https://arxiv.org/abs/0806.2828

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