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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
10/2008

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

Partha Guha

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.

Received:
Feb 6, 2008
Published:
Feb 6, 2008
MSC Codes:
58G26, 14D20, 32G13, 58D27, 81T13
Keywords:
vector bundle, flat connection, Verlinde formula, cohomological pairing, multiple zeta function

Related publications

inBook
2009 Repository Open Access
Partha Guha

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

In: Quantum field theory : competitive models / Bertfried Fauser... (eds.)
Basel [u.a.] : Birkhäuser, 2009. - pp. 95-116