Dyer–Lashof–Cohen operations in Hochschild cohomology

Tourtchine, Victor

doi:10.2140/agt.2006.6.875

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ISSN (electronic): 1472-2739

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Dyer–Lashof–Cohen operations in Hochschild cohomology

Victor Tourtchine

Algebraic & Geometric Topology 6 (2006) 875–894

DOI: 10.2140/agt.2006.6.875

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

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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

Volume 6, issue 2 (2006)