The dilogarithm and abelian Chern-Simons
Geometric Topology
2021-01-25 v2 High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
Abstract
We construct the (enhanced Rogers) dilogarithm function from the spin Chern-Simons invariant of C*-connections. This leads to geometric proofs of basic dilogarithm identities and a geometric context for other properties, such as the branching structure.
Cite
@article{arxiv.2006.12565,
title = {The dilogarithm and abelian Chern-Simons},
author = {Daniel S. Freed and Andrew Neitzke},
journal= {arXiv preprint arXiv:2006.12565},
year = {2021}
}
Comments
25 pages, 3 figures; v2 small clarifications