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SLICE-TORUS CONCORDANCE INVARIANTS AND WHITEHEAD DOUBLES OF LINKS
Canadian Journal of Mathematics ( IF 0.7 ) Pub Date : 2019-05-22 , DOI: 10.4153/s0008414x19000294
Alberto Cavallo , Carlo Collari

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.

中文翻译:

SLICE-TORUS 一致性不变量和链接的白头双倍

在本文中,我们将切片环不变量的定义扩展到链接。我们证明了新定义的切片环面链接不变量的一些属性:交叉变化下的行为、切片属界、对强切片的阻碍和组合界限。此外,我们提供了一个计算分裂数的应用程序。最后,我们使用 slice-torus 链接不变量和 Whitehead 加倍为链接定义新的强一致性不变量,这些变量被证明独立于相应的 slice-torus 链接不变量。
更新日期:2019-05-22
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