An explicit E_n-action on total complex of (n-1)-commutative monoid

Michael Batanin – 3 April 2019, 10 April 2019

We provide explicit formulas for cup product and (n-1)-bracket operation on the total complex of (n-1)-commutative cosimplicial monoid. Examples include Davydov-Yetter deformation complex of tensor functor and tensor category (n=2,3) and simplicial cochain complex of simplicial set (n=\infty).

This is a joint work with Alexei Davydov.