String topology on Gorenstein spaces |
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Authors: | Yves Félix Jean-Claude Thomas |
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Institution: | (1) Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium;(2) Université d’Angers, UMR CNRS 6093, bd Lavoisier, 49045 Angers, France |
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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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Keywords: | |
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