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On the slice genus and some concordance invariants of links

Cavallo, Alberto (2015) On the slice genus and some concordance invariants of links. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 24 (4). pp. 1-22. ISSN 0218-2165

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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.

Item Type: Article
Uncontrolled Keywords: torus links; slice genus; Rasmussen invariant; Lee homology; concordance invariants
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 26 Mar 2018 08:31
Last Modified: 26 Mar 2018 08:44
URI: http://real.mtak.hu/id/eprint/78816

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