Slope and concordance of links

Alex Degtyarev; Vincent Florens; Ana G. Lecuona

doi:10.2140/agt.2024.24.1101

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arXiv · 2202.04529

Slope and concordance of links

Alex Degtyarev·Vincent Florens·Ana G. Lecuona

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Abstract

The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of the signature of the splice. It appeared to be closely related to several classical invariants, such as the Conway potential function or the Kojima eta-function (defined for two-components links). In this paper, we prove that the slope is invariant under colored concordance of links. Besides, we present a formula to compute the slope in terms of C-complexes and generalized Seifert forms.

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Alex Degtyarev, Vincent Florens, Ana G. Lecuona. 2022-02-09. Slope and concordance of links. https://doi.org/10.2140/agt.2024.24.1101

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