✦ LIBER ✦
Seiberg–Witten–Floer homology of a surface times a circle for non-torsion spinℂ structures
✍ Scribed by Vicente Muñoz; Bai-Ling Wang
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 323 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 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. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)