UPSILON INVARIANTS FROM CYCLIC BRANCHED COVERS

Antonio Alfieri,Daniele Celoria,András I. Stipsicz

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA（2021）

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摘要

We extend the construction of Upsilon-type invariants to null-homologous knots in rational homology three-spheres. By considering m-fold cyclic branched covers with m a prime power, this extension provides new knot concordance invariants Upsilon(C)(m)(K) of knots in S-3. We give computations of some of these invariants for alternating knots and reprove independence results in the smooth concordance group.

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关键词

knot Floer homology, grid homology, Upsilon invariant, concordance, double branched cover

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