Hong Kong Geometry Colloquium

November 19, 2005 (Saturday)

Room 517, Meng Wah Complex, HKU

 


 

Professor Andras Szenes

BME Institute of Mathematics, Budapest, Hungary

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.