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A Note on the Koszul Complex in Deformation Quantization

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Abstract

The aim of this short note is to present a proof of the existence of an A ∞-quasi-isomorphism between the A ∞-S(V *)-\({\wedge(V)}\) -bimodule K, introduced in Calaque et al. (Bimodules and branes in deformation quantization, 2009), and the Koszul complex K(V) of S(V *), viewed as an A ∞-S(V *)-\({\wedge(V)}\) -bimodule, for V a finite-dimensional (complex or real) vector space.

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References

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Authors and Affiliations

  1. Department of Mathematics, ETH Zurich, 8092, Zurich, Switzerland

    Andrea Ferrario & Thomas Willwacher

  2. Departamento de Matemática, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    Carlo Antonio Rossi

Authors
  1. Andrea Ferrario
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  2. Carlo Antonio Rossi
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  3. Thomas Willwacher
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Correspondence to Carlo Antonio Rossi.

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Ferrario, A., Rossi, C.A. & Willwacher, T. A Note on the Koszul Complex in Deformation Quantization. Lett Math Phys 95, 27–39 (2011). https://doi.org/10.1007/s11005-010-0439-8

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  • DOI: https://doi.org/10.1007/s11005-010-0439-8

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