On the slice genus and some concordance invariants of links

Alberto Cavallo

doi:10.1142/s0218216515500212

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arXiv · 1403.1153

On the slice genus and some concordance invariants of links

Alberto Cavallo

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Abstract

We introduce a new class of links for which we give a lower bound for the slice genus $g_*$, using the generalized Rasmussen invariant. We show that this bound, in some cases, allows one to compute $g_*$ exactly; in particular, we compute $g_*$ for torus links. We also study another link invariant: the strong slice genus $g_*^*$. Studying the behaviour of a specific type of cobordisms in Lee homology, a lower bound for $g_*^*$ is also given.

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Alberto Cavallo. 2014-09-10. On the slice genus and some concordance invariants of links. https://doi.org/10.1142/s0218216515500212

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