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.
Tourtchine, Victor 1
@article{10_2140_agt_2006_6_875,
author = {Tourtchine, Victor},
title = {Dyer{\textendash}Lashof{\textendash}Cohen operations in {Hochschild} cohomology},
journal = {Algebraic and Geometric Topology},
pages = {875--894},
year = {2006},
volume = {6},
number = {2},
doi = {10.2140/agt.2006.6.875},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2006.6.875/}
}
Tourtchine, Victor. Dyer–Lashof–Cohen operations in Hochschild cohomology. Algebraic and Geometric Topology, Tome 6 (2006) no. 2, pp. 875-894. doi: 10.2140/agt.2006.6.875
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