Abstract
We construct the (enhanced Rogers) dilogarithm function from the spin Chern–Simons invariant of $\mathbb{C}^\times$-connections. This leads to geometric proofs of basic dilogarithm identities and a geometric context for other properties, such as the branching structure.
Funding Statement
This material is based upon work supported by the National Science Foundation under Grant Numbers DMS-1611957 and DMS-1711692. We also thank the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611, as well as the Mathematical Sciences Research Institute, which is supported by National Science Foundation Grant 1440140, both of which provided support to the authors while this work was completed.
Citation
Daniel S. Freed. Andrew Neitzke. "The dilogarithm and abelian Chern–Simons." J. Differential Geom. 123 (2) 241 - 266, February 2023. https://doi.org/10.4310/jdg/1680883577
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