English

The topological quantum field theory of Riemann's theta functions

Quantum Algebra 2015-12-09 v1 Mathematical Physics math.MP

Abstract

In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions and the actions of the Heisenberg groups and modular groups on them.

Keywords

Cite

@article{arxiv.1406.4269,
  title  = {The topological quantum field theory of Riemann's theta functions},
  author = {Razvan Gelca and Alastair Hamilton},
  journal= {arXiv preprint arXiv:1406.4269},
  year   = {2015}
}

Comments

23 pages, 11 figures