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A Bauer–Furuta-type refinement of Kronheimerand Mrowka’s invariant for 4–manifolds with contact boundary

2019/06/30 by Nobuo Iida
Mathematics · #Advanced Operator Algebra Research #Boundary (topology) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Invariant (physics) #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #math.DG #math.GT

paper · pdf · doi:10.2140/agt.2021.21.3303

published as Algebr. Geom. Topol. 21 (2021) 3303-3333 · 23 pages. To appear in Algebraic and Geometric Topology

arxiv created 2021/03/05 · openalex publication_date 2021/12/28 · arxiv updated 2022/01/05 · openalex created_date 2022/01/26 · openalex updated_date 2025/11/06

Abstract

Kronheimer and Mrowka constructed a variant of Seiberg-Witten invariants for a 4-manifold X with contact boundary in 1997. Using Furuta's finite dimensional approximation, we refine this invariant in the case H1(X, ∂ X; ℝ)=0.

Citations