Finiteness Conditions for Hochschild Homology Algebra and Free Loop Space Cohomology Algebra |
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| Authors: | Nicolas Dupont and Micheline Vigué-Poirrier |
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| Institution: | (1) UFR de Mathématiques, Université Des Sciences et Technologies de Lille, 59655 Villeneuve D'Ascq Cedex, France;(2) Institut Galilée, Départment de Mathématiques, Université de Paris-Nord, 93430 Villetaneuse, France |
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| Abstract: | We prove that over a characteristic zero field, in most cases, neither the Hochschild homology algebra of a commutative algebra, nor the free loop space cohomology algebra of a topological space, is finitely generated. |
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| Keywords: | Hochschild homology rational homotopy free loop spaces |
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