On the Verlinde formulas for SO(3)-bundles
Derek Krepski, Eckhard Meinrenken
TL;DR
This paper calculates the quantization of the moduli space of flat SO(3)-bundles over surfaces with boundary, confirming a conjectured Verlinde formula for these bundles.
Contribution
It provides the first explicit computation of the quantization for SO(3)-bundles and verifies the generalized Verlinde formula conjecture.
Findings
Quantization results match the conjectured Verlinde formula
Confirmed the formula for surfaces with boundary and prescribed holonomies
Extended the understanding of moduli space quantization for SO(3) bundles
Abstract
This paper computes the quantization of the moduli space of flat SO(3)-bundles over an oriented surface with boundary, with prescribed holonomies around the boundary circles. The result agrees with the generalized Verlinde formula conjectured by Fuchs and Schweigert.
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