Australian Category Seminar

The lattice path operad and Hochschild cochains (1/2)

Clemens Bergerยท25 Feburary 2009

This is joint work with Michael Batanin.

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 E2-action (respectively, a framed E2-action) on the Hochschild cochain complex of an associative (respectivelhy, a symmetric Frobenius) algebra.

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