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

Vicente Muñoz; Bai Ling Wang

doi:10.1002/mana.200310277

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

Vicente Muñoz, Bai Ling Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We determine the Seiberg-Witten-Floer homology groups of the 3-manifold Σ × double-struck S sign¹, where Σ is a surface of genus g ≥ 2, together with its ring structure, for a Spin^ℂ 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.

Original language	English
Pages (from-to)	844-863
Number of pages	20
Journal	Mathematische Nachrichten
Volume	278
Issue number	7-8
DOIs	https://doi.org/10.1002/mana.200310277
Publication status	Published - 2005
Externally published	Yes

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abstract = "We determine the Seiberg-Witten-Floer homology groups of the 3-manifold Σ × double-struck S sign1, 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{\'a}th and Szab{\'o}.",

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AU - Wang, Bai Ling

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N2 - We determine the Seiberg-Witten-Floer homology groups of the 3-manifold Σ × double-struck S sign1, 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.

AB - We determine the Seiberg-Witten-Floer homology groups of the 3-manifold Σ × double-struck S sign1, 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.

KW - 4-Manifolds

KW - Seiberg-witten invariants

KW - Seiberg-witten-floer homology

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DO - 10.1002/mana.200310277

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SN - 0025-584X

VL - 278

SP - 844

EP - 863

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 7-8

ER -

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

Abstract

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