44 research outputs found
Dyer-Lashof-Cohen operations in Hochschild cohomology
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.Comment: This is the version published by Algebraic & Geometric Topology on 24
July 200
Homology of non--overlapping discs
In this paper we describe the homology and cohomology of some natural
bimodules over the little discs operad, whose components are configurations of
non--overlapping discs. At the end we briefly explain how this algebraic
structure intervenes in the study of spaces of non--equal immersions.Comment: 29 page