The lattice path operad and Hochschild cochains
Algebraic Topology
2016-04-04 v2 Category Theory
Abstract
We introduce two coloured operads in sets -- the lattice path operad and a cyclic extension of it -- closely related to iterated loop spaces and to universal operations on cochains. As main application we present a formal construction of an -action (resp. framed -action) on the Hochschild cochain complex of an associative (resp. symmetric Frobenius) algebra.
Keywords
Cite
@article{arxiv.0902.0556,
title = {The lattice path operad and Hochschild cochains},
author = {Michael Batanin and Clemens Berger},
journal= {arXiv preprint arXiv:0902.0556},
year = {2016}
}
Comments
References added. Proof of Theorem 4.9 (now 4.10) changed. Final version, to appear in Contemp. Math. Volume "Alpine perspectives in algebraic topology"