Journal article

### Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations

Abstract:

This paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface ∑ of genus g ≥ 2 where n and d may have common factors. Because of the presence of singularities we work with the intersection cohomology groups IH*(M(n,d)) defined by Goresky and MacPherson and the ordinary cohomology groups of a certain partial resolution of singularities M̃(n,d) of M(n,d). Based on our earlier work [25], we give a...

Publication status:
Published

### Access Document

Publisher copy:
10.1007/s00031-005-1118-1

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
TRANSFORMATION GROUPS
Volume:
11
Issue:
3
Pages:
439-494
Publication date:
2006-09-01
DOI:
EISSN:
1531-586X
ISSN:
1083-4362
Source identifiers:
8041
Language:
English
Pubs id:
pubs:8041
UUID:
uuid:62e82546-b3bb-416d-a022-71f26f2660fe
Local pid:
pubs:8041
Deposit date:
2012-12-19