Arithmetic Chern-Simons Theory II
Number Theory
2017-06-27 v3
Abstract
We apply ideas of Dijkgraaf and Witten on three-dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fields. In the first three sections, we define classical Chern-Simons actions on spaces of Galois representations. In the subsequent sections, we give formulas for computation in a small class of cases and point towards some arithmetic applications.
Keywords
Cite
@article{arxiv.1609.03012,
title = {Arithmetic Chern-Simons Theory II},
author = {Hee-Joong Chung and Dohyeong Kim and Minhyong Kim and Jeehoon Park and Hwajong Yoo},
journal= {arXiv preprint arXiv:1609.03012},
year = {2017}
}
Comments
This is a continuation of the paper arXiv:1510.05818. Because there is no plan to submit that paper for publication, the beginning sections contain some overlap. But the motivational discussion has been minimised and examples included. In this version, section 3 corrected and simplified