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Seiberg–Witten–Floer homology of a surface times a circle for non-torsion spinC structures

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Muñoz, Vicente and Bai Ling, Wang (2005) Seiberg–Witten–Floer homology of a surface times a circle for non-torsion spinC structures. Mathematische Nachrichten, 278 (7-8). pp. 844-863. ISSN 0025-584X

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mana.200310277/pdf


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Abstract

We determine the Seiberg–Witten–Floer homology groups of the 3-manifold Σ × S1, 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 Oszv´ath and Szabo.


Item Type:Article
Uncontrolled Keywords:4-manifolds; Seiberg–Witten invariants; Seiberg–Witten–Floer homology
Subjects:Sciences > Mathematics > Topology
ID Code:21137
Deposited On:29 Apr 2013 17:23
Last Modified:12 Dec 2018 15:13

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