Dyer-Lashof-Cohen operations in Hochschild cohomology

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.

This is the version published by Algebraic & Geometric Topology on 24 July 2006

References in corpus (3)

• Operads and Motives in Deformation Quantization
• Combinatorial operad actions on cochains
• A Combinatorial Method for Computing Steenrod Squares

Cited by in corpus (8)

• Algebra+Homotopy=Operad
• Cochain level May-Steenrod operations
• Formal groups and quantum cohomology
• Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
• Permutahedral Structures of $E_2$ Operads
• Pre-Lie algebras in positive characteristic
• Connes-Kreimer quantizations and PBW theorems for pre-Lie algebras
• On the homology of the double cobar construction of a double suspension