Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex

S. A. Merkulov

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arXiv · 0710.0821

Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex

S. A. Merkulov

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Abstract

This paper aims to give a short but self-contained introduction into the theory of (wheeled) props, properads, dioperads and operads, and illustrate some of its key ideas in terms of a prop(erad)ic interpretation of simplicial and permutahedra cell complexes with subsequent applications to the Hochschild-Kostant-Rosenberg type isomorphisms.

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S. A. Merkulov. 2007-10-03. Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex. https://arxiv.org/abs/0710.0821

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