Witten's Volume Formula, Cohomological Pairings of Moduli Space of Flat Connections and Applications of Multiple Zeta Functions

Partha Guha

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Submission date: 06. Feb. 2008
Pages: 24
published in: Quantum field theory : competitive models / B. Fauser ... (eds.)
Basel [u.a.] : Birkhäuser, 2009. - P. 95 - 116 
DOI number (of the published article): 10.1007/978-3-7643-8736-5_6
Bibtex
MSC-Numbers: 58G26, 14D20, 32G13, 58D27, 81T13
Keywords and phrases: vector bundle, flat connection, Verlinde formula, cohomological pairing, multiple zeta function
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Abstract:
We use Witten's volume formula to calculate the cohomological pairings of the moduli space of at SU(3) connections. The cohomological pairings of moduli space of at SU(2) connections is 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.