Published January 16, 2001
| Version Submitted
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Exact triangles in monopole homology and the Casson-Walker invariant
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Abstract
The purpose of this paper is to give a general outline of the problem of the exact triangles in Seiberg–Witten–Floer theory. We present here the most general case, where the problem consists of producing a surgery formula relating the monopole homology of a compact oriented 3–manifold Y with an embedded knot K, and the monopole homologies of some 3–manifolds obtained by Dehn surgery on K.
Additional Information
(Submitted on 16 Jan 2001) BLW likes to acknowledge the paper of Ozsváth and Szabó [10] on the theta divisor and the Casson-Walker invariant which leads to his proof of the equivalence of SW_Y and the Casson-Walker invariant, hence proving the conjecture formulated in [10] on the equivalent between SW_Y and their θ invariant for all rational homology 3-sphere. BLW is partially supported by Australia Research Council Fellowship.Attached Files
Submitted - 0101127.pdf
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0101127.pdf
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- Eprint ID
- 79053
- Resolver ID
- CaltechAUTHORS:20170713-073152604
Related works
- Describes
- https://arxiv.org/abs/math/0101127 (URL)
Funding
- Australian Research Council
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2017-07-13Created from EPrint's datestamp field
- Updated
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2023-06-01Created from EPrint's last_modified field
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