A Splitting Formula in Instanton Floer Homology

2019/01/09 by Nima Anvari, Anvari, Nima · 1 citation
Mathematics · Computer Science · #Geometric and Algebraic Topology #semigroups and automata theory #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1901.02570

Abstract

In a recent paper, Lin, Ruberman and Saveliev proved a splitting formula expressing the Seiberg-Witten invariant λ_SW(X) of a smooth 4-manifold with rational homology of S¹× S³ in terms of the Frøyshov invariant h(X) and a Lefschetz number in reduced monopole Floer homology. In this note we observe that a similar splitting formula holds in reduced instanton Floer homology.

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