Manolescu correction terms and knots in the three-sphere

Francesco Lin

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arXiv · 1607.05220

Manolescu correction terms and knots in the three-sphere

Francesco Lin

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Abstract

Manolescu correction terms are numerical invariants of homology three-spheres arising from $\mathrm{Pin}(2)$-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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Francesco Lin. 2016-07-18. Manolescu correction terms and knots in the three-sphere. https://arxiv.org/abs/1607.05220

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