Witten's volume formula, cohomological pairings of moduli space of flat connections and applications of multiple zeta functions

Partha Guha

doi:10.1007/978-3-7643-8736-5_6

Witten's volume formula, cohomological pairings of moduli space of flat connections and applications of multiple zeta functions

Partha Guha

Mathematics

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

1 Scopus citations

Abstract

We use Witten's volume formula to calculate the cohomological pairings of the moduli space of flat SU(3) connections. The cohomological pairings of moduli space of flat SU(2) connections are known from the work of Thaddeus-Witten- Donaldson, but for higher holonomy groups these pairings are largely unknown. We make some progress on these problems, and show that the pairings can be expressed in terms of multiple zeta functions.

Original language	British English
Title of host publication	Quantum Field Theory
Subtitle of host publication	Competitive Models
Pages	95-116
Number of pages	22
DOIs	https://doi.org/10.1007/978-3-7643-8736-5_6
State	Published - 2009
Event	3rd Workshop on Recent Developments in Quantum Field Theory - Leipzig, Germany Duration: 20 Jul 2007 → 22 Jul 2007

Publication series

Name	Quantum Field Theory: Competitive Models

Conference

Conference	3rd Workshop on Recent Developments in Quantum Field Theory
Country/Territory	Germany
City	Leipzig
Period	20/07/07 → 22/07/07

Keywords

cohomological pairing
flat connection
multiple zeta values
vector bundle
Verlinde formula

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10.1007/978-3-7643-8736-5_6

Cite this

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title = "Witten's volume formula, cohomological pairings of moduli space of flat connections and applications of multiple zeta functions",

abstract = "We use Witten's volume formula to calculate the cohomological pairings of the moduli space of flat SU(3) connections. The cohomological pairings of moduli space of flat SU(2) connections are known from the work of Thaddeus-Witten- Donaldson, but for higher holonomy groups these pairings are largely unknown. We make some progress on these problems, and show that the pairings can be expressed in terms of multiple zeta functions.",

keywords = "cohomological pairing, flat connection, multiple zeta values, vector bundle, Verlinde formula",

author = "Partha Guha",

year = "2009",

doi = "10.1007/978-3-7643-8736-5_6",

language = "British English",

isbn = "9783764387358",

series = "Quantum Field Theory: Competitive Models",

pages = "95--116",

booktitle = "Quantum Field Theory",

note = "3rd Workshop on Recent Developments in Quantum Field Theory ; Conference date: 20-07-2007 Through 22-07-2007",

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Guha, P 2009, Witten's volume formula, cohomological pairings of moduli space of flat connections and applications of multiple zeta functions. in Quantum Field Theory: Competitive Models. Quantum Field Theory: Competitive Models, pp. 95-116, 3rd Workshop on Recent Developments in Quantum Field Theory, Leipzig, Germany, 20/07/07. https://doi.org/10.1007/978-3-7643-8736-5_6

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AU - Guha, Partha

PY - 2009

Y1 - 2009

N2 - We use Witten's volume formula to calculate the cohomological pairings of the moduli space of flat SU(3) connections. The cohomological pairings of moduli space of flat SU(2) connections are known from the work of Thaddeus-Witten- Donaldson, but for higher holonomy groups these pairings are largely unknown. We make some progress on these problems, and show that the pairings can be expressed in terms of multiple zeta functions.

AB - We use Witten's volume formula to calculate the cohomological pairings of the moduli space of flat SU(3) connections. The cohomological pairings of moduli space of flat SU(2) connections are known from the work of Thaddeus-Witten- Donaldson, but for higher holonomy groups these pairings are largely unknown. We make some progress on these problems, and show that the pairings can be expressed in terms of multiple zeta functions.

KW - cohomological pairing

KW - flat connection

KW - multiple zeta values

KW - vector bundle

KW - Verlinde formula

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U2 - 10.1007/978-3-7643-8736-5_6

DO - 10.1007/978-3-7643-8736-5_6

M3 - Conference contribution

AN - SCOPUS:84890205056

SN - 9783764387358

T3 - Quantum Field Theory: Competitive Models

SP - 95

EP - 116

BT - Quantum Field Theory

T2 - 3rd Workshop on Recent Developments in Quantum Field Theory

Y2 - 20 July 2007 through 22 July 2007

ER -

Witten's volume formula, cohomological pairings of moduli space of flat connections and applications of multiple zeta functions

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