The topological quantum field theory of Riemann's theta functions

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)242-261
Number of pages20
JournalJournal of Geometry and Physics
Volume98
DOIs
StatePublished - Dec 1 2015

Keywords

  • Low-dimensional topology
  • Modular groups
  • Quantization
  • Skein theory
  • Theta functions
  • Topological quantum field theory

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