Room
517, Meng Wah Complex, HKU
Professor Andras
Szenes
BME
Institute of Mathematics,
Cohomology of Higgs moduli
Abstract
In joint work with Tamas
Hausel, we conjecture a formula for all equivariant intersection numbers of Higgs bundles moduli spaces for arbitrary genus and rank. The formula is
a natural generalization of the corresponding results for stable bundles moduli. It has the form of a sum of contributions
enumerated by ordered partitions of the rank. We verify the result for two
special partitions. Our work was motivated by an article of Moore, Nekrasov and Shatashvili.