The lattice path operad and Hochschild cochains

Details The lattice path operad and Hochschild cochains The lattice path operad and Hochschild cochains

2009-02-03

arxiv.org/abs/0902.0556v2

Mathematics

Algebraic Topology

References added. Proof of Theorem 4.9 (now 4.10) changed. Final version, to appear in Contemp. Math. Volume "Alpine perspecti

Scientific paper

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.

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