Journal article

### Vanishing of intersection numbers on the moduli space of Higgs bundles

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 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 vanish, i.e. "there are no topological L^2 harmonic forms on Hitchin's space". This result generalizes the well known vanishing of the Euler characteristic of the moduli space of rank...

### Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Volume:
2
Issue:
5
Pages:
1011-1040
Publication date:
1998-05-15
EISSN:
1095-0753
ISSN:
1095-0761
Source identifiers:
16318
Language:
English
Keywords:
Pubs id:
pubs:16318
UUID:
uuid:2b2ba072-d7ae-44fa-86d1-e5b658c5c6c9
Local pid:
pubs:16318
Deposit date:
2012-12-19