Published April 2002
| public
Journal Article
Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres
- Creators
-
Marcolli, Matilde
- Wang, Bai-Ling
Abstract
We consider a modified version of the Seiberg–Witten invariants for rational homology 3-spheres, obtained by adding to the original invariants a correction term which is a combination of η-invariants. We show that these modified invariants are topological invariants. We prove that an averaged version of these modified invariants equals the Casson–Walker invariant. In particular, this result proves an averaged version of a conjecture of Ozsváth and Szabó on the equivalence between their θ invariant and the Seiberg–Witten invariant of rational homology 3-spheres.
Additional Information
© 2002 Kluwer Academic Publishers. Received: 11 January 2001. Some of our arguments are inspired by the paper of Ozsváth and Szabó on the theta divisor and the Casson–Walker invariant. The first author is partially supported by the Humboldt Foundation (Sofja Kovalevskaya Award). The second author is supported by the Australian Research Council.Additional details
- Eprint ID
- 27446
- DOI
- 10.1023/A:1016299716922
- Resolver ID
- CaltechAUTHORS:20111026-110403593
- Humboldt Foundation Sofja Kovalevskaya Award
- Australian Research Council
- Created
-
2011-10-26Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field