Seiberg-Witten-Floer Homology and Gluing Formulae

2002/06/06 by Alan L. Carey, Carey, Alan L., Bai-Ling Wang +2
Mathematics · Physics and Astronomy · #57M25 #57N13 #57R57 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #math-ph #math.DG #math.GT #math.MP #msc:57M25 #msc:57N13 #msc:57R57

paper · pdf · doi:10.48550/arxiv.math/0206047

63 pages, LaTex

arxiv created 2002/06/06 · openalex publication_date 2002/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper gives a detailed construction of Seiberg-Witten-Floer homology for a closed oriented 3-manifold with a non-torsion \spinc structure. Gluing formulae for certain 4-dimensional manifolds splitting along an embedded 3-manifold are obtained.

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