## Manifoldic homology and Chern-Simons formalism

My preprint arXiv:1106.5352v1 is mostly inspired by the perfect explanation of Damien Calaque of the Kevin Costello’s project. Given a -algebra and a compact parallelized -manifold without borders a morphism from homology of the Lie algebra associated with to some manifoldic homology is constructed in the preprint. I guess that for a proper this morphism gives perturbative Chern-Simons invariants of and that this construction is closely connected with the Costello’s approach. Some comments are under the cut. (more…)

## Universal enveloping e_n-algebra

The universal enveloping -algebra is a functor from the category of homotopy Lie algebras over to the category of algebras over the operad of rational chains of the operad of little discs. For one get (the derived functor of) the usual universal enveloping algebra. (more…)

leave a comment