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Manolescu correction terms and knots in the three-sphere

2016/07/18 by Francesco Lin, Lin, Francesco
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1607.05220

Abstract

Manolescu correction terms are numerical invariants of homology three-spheres arising from Pin(2)-equivariant Seiberg-Witten theory that contain information about homology cobordism. We discuss several constraints on these invariants for homology spheres obtained by Dehn surgery on a knot in the three-sphere (and, more generally, in an integral homology L-space) in terms of the surgery coefficient, the concordance order, and the genus.

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