English

Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex

Quantum Algebra 2007-10-04 v1

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.

Keywords

Cite

@article{arxiv.0710.0821,
  title  = {Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex},
  author = {S. A. Merkulov},
  journal= {arXiv preprint arXiv:0710.0821},
  year   = {2007}
}

Comments

21 pages

R2 v1 2026-06-21T09:26:10.676Z