A family of link concordance invariants from perturbed sl(n) homology

Gahye Jeong

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arXiv · 1608.05781

A family of link concordance invariants from perturbed sl(n) homology

Gahye Jeong

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Abstract

We define a family of link concordance invariants $\left\{ s_n \right\}_{n=2,3, \cdots}$. These link concordance invariants give lower bounds on the slice genus of a link $L$. We compute the slice genus of positive links. Moreover, these invariants give lower bounds on the link splitting number of a link. Especially, this new lower bound determines the splitting number of positive torus links. This is a generalization of Lobb's knot concordance invariants $\left\{ s_n \right\}$, obtained from Gornik's spectral sequence.

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Gahye Jeong. 2016-08-20. A family of link concordance invariants from perturbed sl(n) homology. https://arxiv.org/abs/1608.05781

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