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String topology on Gorenstein spaces

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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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Authors and Affiliations

  1. Université Catholique de Louvain, 1348, Louvain-La-Neuve, Belgium

    Yves Félix

  2. Université d’Angers, UMR CNRS 6093, bd Lavoisier, 49045, Angers, France

    Jean-Claude Thomas

Authors
  1. Yves Félix
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  2. Jean-Claude Thomas
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Correspondence to Jean-Claude Thomas.

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Félix, Y., Thomas, JC. String topology on Gorenstein spaces. Math. Ann. 345, 417–452 (2009). https://doi.org/10.1007/s00208-009-0361-5

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  • DOI: https://doi.org/10.1007/s00208-009-0361-5

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