Topological Field Theories and Harrison Homology
arXiv:1102.3451 · doi:10.1007/s11005-012-0597-y
Abstract
The tools and arguments developed by Kevin Costello are adapted to families of "Outer Spaces" or spaces of graphs. This allows us to prove a version of Deligne's conjecture: the Harrison homology associated to a homotopy commutative algebra is naturally a module over a particular cobordism category of 3-manifolds.