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Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures


Muñoz, V; Wang, B L (2005). Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin-c structures. Mathematische Nachrichten, 278(7-8):844-863.

Abstract

We determine the Seiberg–Witten–Floer homology groups of the 3-manifold Σ × S 1, where Σ is a surface of genus g ≥ 2, together with its ring structure, for a Spinℂ structure with non-vanishing first Chern class. We give applications to computing Seiberg–Witten invariants of 4-manifolds which are connected sums along surfaces and also we reprove the higher type adjunction inequalities obtained by Oszváth and Szabó. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Abstract

We determine the Seiberg–Witten–Floer homology groups of the 3-manifold Σ × S 1, where Σ is a surface of genus g ≥ 2, together with its ring structure, for a Spinℂ structure with non-vanishing first Chern class. We give applications to computing Seiberg–Witten invariants of 4-manifolds which are connected sums along surfaces and also we reprove the higher type adjunction inequalities obtained by Oszváth and Szabó. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:4-manifolds;Seiberg–Witten invariants;Seiberg–Witten–Floer homology
Language:English
Date:2005
Deposited On:29 Nov 2010 16:26
Last Modified:06 Dec 2017 20:47
Publisher:Wiley-Blackwell Publishing, Inc.
ISSN:0025-584X
Publisher DOI:https://doi.org/10.1002/mana.200310277
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2141962
http://arxiv.org/abs/math/9905050

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Content: Accepted Version
Filetype: PDF (Accepted manuscript, Version 1)
Size: 318kB