Open/Closed string topology and moduli space actions via open/closed Hochschild actions.

Kaufmann, Ralph M.

Displaying similar documents to “Open/Closed string topology and moduli space actions via open/closed Hochschild actions.”

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Let $M$ be a differential manifold. Let $Φ$ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from $Φ$ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on $C^{\infty} (M)$ and its cohomology $(Γ (M, Λ T M), {[-, -]}_{S}$ ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on $G_{\infty}$ -structures, explanation...

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Lambe, Larry A., Seiler, Werner M. (2002)

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