Twisted IBL-infinity-algebra and string topology: First look and examples
arXiv:1811.05281
Abstract
We study the application of IBL-infinity-algebras to string topology and explicitly compute the case of spheres. This involves finding a Green kernel and computing integrals associated to trivalent ribbon graphs, which are similar to integrals from perturbative Chern-Simons theory. We generalize the computation and show that the twisted IBL-infinity-structure in question is in many cases trivial.
New version from January, 2019: a general vanishing result for the Maurer-Cartan element due to a tricky Green kernel modification from "A. Cattaneo, P. Mnev, Remarks on Chern-Simons theory"; more precise formulation of the string topology conjecture; other minor changes