Twisted IBL-infinity-algebra and string topology: First look and examples
Mathematical Physics
2019-01-24 v2 Algebraic Topology
math.MP
Symplectic Geometry
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.
Cite
@article{arxiv.1811.05281,
title = {Twisted IBL-infinity-algebra and string topology: First look and examples},
author = {Pavel Hajek},
journal= {arXiv preprint arXiv:1811.05281},
year = {2019}
}
Comments
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