Permutahedra, HKR Isomorphism and Polydifferential Gerstenhaber–Schack Complex

  • S. A. MerkulovEmail author
Part of the Progress in Mathematics book series (PM, volume 287)


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.

Operads Bialgebras Permutahedra 



The author is grateful to an anonymous referee for useful comments.


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsStockholm UniversityStockholmSweden

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