Year: 2009
Type: preprint
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 $E_2$-action (resp. framed $E_2$-action) on the Hochschild cochain complex of an associative (resp. symmetric Frobenius) algebra.
Source: arXiv (Cornell University)
Authors: Batanin, Michael, Berger, Clemens
Institutions: Macquarie University, Laboratoire Jean-Alexandre Dieudonné
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4298408181