MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 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.
Witten's Volume Formula, Cohomological Pairings of Moduli Space of Flat Connections and Applications of Multiple Zeta Functions
Partha GuhaAbstract
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:
- 06.02.08
- Published:
- 06.02.08
- MSC Codes:
- 58G26, 14D20, 32G13, 58D27, 81T13
- Keywords:
- vector bundle, flat connection, Verlinde formula, cohomological pairing, multiple zeta function
Related publications
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