---
res:
bibo_abstract:
- The moduli space of stable bundles of rank $2$ and degree $1$ on a Riemann surface
has rational cohomology generated by the so-called universal classes. The work
of Baranovsky, King-Newstead, Siebert-Tian and Zagier provided a complete set
of relations between these classes, expressed in terms of a recursion in the genus.
This paper accomplishes the same thing for the noncompact moduli spaces of Higgs
bundles, in the sense of Hitchin and Simpson. There are many more independent
relations than for stable bundles, but in a sense the answer is simpler, since
the formulas are completely explicit, not recursive. The results of Kirwan on
equivariant cohomology for holomorphic circle actions are of key importance.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Tamas
foaf_name: Tamas Hausel
foaf_surname: Hausel
foaf_workInfoHomepage: http://www.librecat.org/personId=4A0666D8-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Michael
foaf_name: Thaddeus, Michael
foaf_surname: Thaddeus
bibo_doi: 10.1090/S0894-0347-02-00417-4
bibo_issue: '2'
bibo_volume: 16
dct_date: 2003^xs_gYear
dct_publisher: American Mathematical Society@
dct_title: Relations in the cohomology ring of the moduli space of rank 2 Higgs
bundles@
...