A Bauer-Furuta type refinement of Kronheimer-Mrowka's invariant for 4-manifolds with contact boundary

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 $H^1(X,\partial X;\mathbb{R})=0$.

23 pages. To appear in Algebraic and Geometric Topology

References in corpus (1)

• No homotopy 4-sphere invariants using ECH = SWF