Geodesic
Slice-torus Concordance Invariants and Whitehead Doubles of Links
Canadian journal of mathematics, Tome 72 (2020) no. 6, pp. 1423-1462

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DOI

In this 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 of the corresponding slice-torus link invariant.
DOI : 10.4153/S0008414X19000294
Mots-clés : Link concordance, slice-torus invariant, splitting number 
Cavallo, Alberto; Collari, Carlo. Slice-torus Concordance Invariants and Whitehead Doubles of Links. Canadian journal of mathematics, Tome 72 (2020) no. 6, pp. 1423-1462. doi: 10.4153/S0008414X19000294
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     author = {Cavallo, Alberto and Collari, Carlo},
     title = {Slice-torus {Concordance} {Invariants} and {Whitehead} {Doubles} of {Links}},
     journal = {Canadian journal of mathematics},
     pages = {1423--1462},
     year = {2020},
     volume = {72},
     number = {6},
     doi = {10.4153/S0008414X19000294},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000294/}
}
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