Slice-torus concordance invariants and Whitehead doubles of links

Alberto Cavallo; Carlo Collari

doi:10.4153/s0008414x19000294

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arXiv · 1806.10358

Slice-torus concordance invariants and Whitehead doubles of links

Alberto Cavallo·Carlo Collari

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Abstract

In the present paper we extend the definition of slice-torus invariant to links. We prove a few properties of the newly-defined slice-torus link invariants: the behaviour under crossing change, a slice genus bound, an obstruction to strong sliceness, and a combinatorial bound. Furthermore, we provide an application to the computation of the splitting number. Finally, we use the slice-torus link invariants, and the Whitehead doubling to define new strong concordance invariants for links, which are proven to be independent from the corresponding slice-torus link invariant.

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Alberto Cavallo, Carlo Collari. 2018-06-27. Slice-torus concordance invariants and Whitehead doubles of links. https://doi.org/10.4153/s0008414x19000294

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