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Dyer–Lashof–Cohen operations in Hochschild cohomology

Victor Tourtchine

Algebraic & Geometric Topology 6 (2006) 875–894

arXiv: math.RA/0504017

Abstract

We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra.

Keywords
Hochschild complexes, Deligne's Hochschild cohomology conjecture, operads, Dyer–Lashof–Cohen operations
Mathematical Subject Classification 2000
Primary: 16E40
Secondary: 18D50, 55P48, 55S12
References
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Publication
Received: 26 April 2005
Revised: 20 November 2005
Accepted: 5 April 2006
Published: 24 July 2006
Authors
Victor Tourtchine
Institut de Mathématique Pure et Appliquée
Université Catholique de Louvain
Chemin du Cyclotron 2
B-1348 Louvain-la-Neuve
Belgium
Independent University of Moscow
119002, Bolshoy Vlasyevskiy Pereulok 11
Moscow
Russia