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Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology

Marcolli, Matilde and Wang, Bai-Ling (2000) Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology. . (Submitted)

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Some aspects of the construction of SW Floer homology for manifolds with non-trivial rational homology are analyzed. In particular, the case of manifolds that are obtained as zero-surgery on a knot in a homology sphere, and for torsion spinc structures. We discuss relative invariants in the case of torsion spinc structures.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:Both the authors benefited of conversations with Ron Wang on some of the issues discussed in this paper. We thank Vicente Muñoz for his help in formulating the gluing formulae. We also thank the referee for useful comments. We thank the Max Planck Institut für Mathematik for the kind hospitality and for support. The first author is partially supported by NSF grant DMS-9802480. The second author is partially supported by ARC Fellowship.
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Australian Research CouncilUNSPECIFIED
Record Number:CaltechAUTHORS:20170712-151923729
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79030
Deposited By: Tony Diaz
Deposited On:13 Jul 2017 02:45
Last Modified:03 Oct 2019 18:15

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