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Exact triangles in monopole homology and the Casson-Walker invariant

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)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/math/0101127arXivDiscussion Paper
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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Australian Research CouncilUNSPECIFIED
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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