The topological quantum field theory of Riemann's theta functions

Răzvan Gelca; Alastair Hamilton

doi:10.1016/j.geomphys.2015.08.008

The topological quantum field theory of Riemann's theta functions

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	242-261
Number of pages	20
Journal	Journal of Geometry and Physics
Volume	98
DOIs	https://doi.org/10.1016/j.geomphys.2015.08.008
State	Published - Dec 1 2015

Keywords

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

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10.1016/j.geomphys.2015.08.008

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title = "The topological quantum field theory of Riemann's theta functions",

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 = "Low-dimensional topology, Modular groups, Quantization, Skein theory, Theta functions, Topological quantum field theory",

author = "R{\u a}zvan Gelca and Alastair Hamilton",

note = "Funding Information: Research of the first author partially supported by the NSF , award No. DMS 0604694 . Research of the second author partially supported by the Simons Foundation , award No. 279462 Publisher Copyright: {\textcopyright} 2015 Elsevier B.V..",

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AU - Hamilton, Alastair

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KW - Low-dimensional topology

KW - Modular groups

KW - Quantization

KW - Skein theory

KW - Theta functions

KW - Topological quantum field theory

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JO - Journal of Geometry and Physics

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The topological quantum field theory of Riemann's theta functions

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Keywords

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