A Note on the Koszul Complex in Deformation Quantization |
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| Authors: | Andrea Ferrario Carlo Antonio Rossi Thomas Willwacher |
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| Institution: | 1.Department of Mathematics,ETH Zurich,Zurich,Switzerland;2.Departamento de Matemática, Centro de Análise Matemática, Geometria e Sistemas Dinamicos,Instituto Superior Técnico,Lisboa,Portugal |
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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
*)-ù(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
*)-ù(V){\wedge(V)} -bimodule, for V a finite-dimensional (complex or real) vector space. |
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| Keywords: | |
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