Faddeev's quantum dilogarithm and state-integrals on shaped triangulations

Jørgen Ellegaard Andersen; Kashaev Rinat

doi:10.1007/978-3-319-09949-1_5

Faddeev's quantum dilogarithm and state-integrals on shaped triangulations

Jørgen Ellegaard Andersen, Kashaev Rinat

Aarhus University

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Abstract

Using Faddeev’s quantum dilogarithm function, we review our description of a one parameter family of state-integrals on shaped triangulated pseudo 3-manifolds. This invariant is part of a certain TQFT, which we have constructed previously in a number of papers on the subject.

Original language	English
Title of host publication	Mathematical Aspects of Quantum Field Theories
Editors	Damien Calaque, Thomas Strobl
Number of pages	20
Publisher	Springer
Publication date	2015
Pages	133-152
ISBN (Print)	978-3-319-09948-4
ISBN (Electronic)	978-3-319-09949-1
DOIs	https://doi.org/10.1007/978-3-319-09949-1_5
Publication status	Published - 2015
Externally published	Yes

Series	Mathematical Physics Studies
ISSN	0921-3767

Keywords

Dimensional Cell
Internal Edge
Partition Function
Shape Structure
Simons Theory

Documents & Links

10.1007/978-3-319-09949-1_5

Cite this

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title = "Faddeev's quantum dilogarithm and state-integrals on shaped triangulations",

abstract = "Using Faddeev{\textquoteright}s quantum dilogarithm function, we review our description of a one parameter family of state-integrals on shaped triangulated pseudo 3-manifolds. This invariant is part of a certain TQFT, which we have constructed previously in a number of papers on the subject.",

keywords = "Dimensional Cell, Internal Edge, Partition Function, Shape Structure, Simons Theory",

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Faddeev's quantum dilogarithm and state-integrals on shaped triangulations. / Andersen, Jørgen Ellegaard; Rinat, Kashaev.
Mathematical Aspects of Quantum Field Theories. ed. / Damien Calaque; Thomas Strobl. Springer, 2015. p. 133-152 (Mathematical Physics Studies).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

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AU - Rinat, Kashaev

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AB - Using Faddeev’s quantum dilogarithm function, we review our description of a one parameter family of state-integrals on shaped triangulated pseudo 3-manifolds. This invariant is part of a certain TQFT, which we have constructed previously in a number of papers on the subject.

KW - Dimensional Cell

KW - Internal Edge

KW - Partition Function

KW - Shape Structure

KW - Simons Theory

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DO - 10.1007/978-3-319-09949-1_5

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BT - Mathematical Aspects of Quantum Field Theories

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