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res:
bibo_abstract:
- In this paper we consider the topological side of a problem which is the analogue
of Sen's S-duality testing conjecture for Hitchin's moduli space M of rank 2 stable
Higgs bundles of fixed determinant of odd degree over a Riemann surface ∑. We
prove that all intersection numbers in the compactly supported cohomology of M
vanish, i.e. "there are no topological L2 harmonic forms on M". This
result generalizes the well known vanishing of the Euler characteristic of the
moduli space of rank 2 stable bundles N of fixed determinant of odd degree over
∑. Our proof shows that the vanishing of all intersection numbers of H* cpt(M)
is given by relations analogous to the Mumford relations in the cohomology ring
of N.@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
bibo_doi: 10.4310/ATMP.1998.v2.n5.a3
bibo_issue: '5'
bibo_volume: 2
dct_date: 1998^xs_gYear
dct_publisher: International Press@
dct_title: Vanishing of intersection numbers on the moduli space of Higgs bundles@
...