L∞-morphisms of Cyclic Chains

نویسندگان

  • ALBERTO S. CATTANEO
  • GIOVANNI FELDER
چکیده

Recently the first two authors [1] constructed an L∞-morphism using the S1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not entirely clear. We give here a “good” interpretation and show that the resulting formality statement is equivalent to formality on cyclic chains as conjectured by Tsygan and proved recently by several authors [5], [9].

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On L∞-morphisms of Cyclic Chains

Recently the first two authors [1] constructed an L∞-morphism using the S1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not entirely clear. We give here a “good” interpretation and show that the resulting formality statement is equivalent to formality on cyclic chains as conjectured by Tsygan and proved recently by several authors [5], [10].

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تاریخ انتشار 2008