Published July 13, 2017
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The geometric triangle for 3-dimensional Seiberg-Witten monopoles
- Creators
- Carey, A. L.
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Marcolli, M.
- Wang, Bai-Ling
Abstract
We establish a surgery formula for 3-dimensional Seiberg-Witten monopoles under (+1) Dehn surgery on a knot in a homology 3-sphere. (substantial revision)
Additional Information
(Submitted on 11 Jul 1999 (v1), last revised 21 Mar 2002 (this version, v3) We are very grateful to Ronnie Lee, Tom Mrowka, Vicente Munoz, and Peter Ozsvath for useful discussions and suggestions. We like to thank Cliff Taubes for providing the proof of Lemma 2.3 and Liviu Nicolaescu for the proof of Lemma 4.11. The three authors also thank the Max-Planck-Institut für Mathematik, Bonn for the kind hospitality and for support. AC and BW are partially supported by Australian Research Council. MM is partially supported by NSF grant DMS-9802480 and by Humboldt Foundation (Sofja Kovalevskaya Award).Attached Files
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Additional details
- Alternative title
- Exact triangles in Seiberg-Witten Floer theory. Part I: the geometric triangle
- Eprint ID
- 79067
- Resolver ID
- CaltechAUTHORS:20170713-090503578
- Max-Planck-Institut für Mathematik
- Australian Research Council
- DMS-9802480
- NSF
- Alexander von Humboldt Foundation
- Created
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2017-07-13Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field