Marcolli, Matilde and Wang, Bai-Ling (2001) Exact triangles in monopole homology and the Casson-Walker invariant. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170713-073152604
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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.
| Item Type: | Report or Paper (Discussion Paper) | ||||||
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| 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. | ||||||
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| Record Number: | CaltechAUTHORS:20170713-073152604 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170713-073152604 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 79053 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 13 Jul 2017 16:49 | ||||||
| Last Modified: | 03 Oct 2019 18:15 |
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