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2019 Four-genera of links and Heegaard Floer homology
Beibei Liu
Algebr. Geom. Topol. 19(7): 3511-3540 (2019). DOI: 10.2140/agt.2019.19.3511

Abstract

For links with vanishing pairwise linking numbers, the link components bound pairwise disjoint oriented surfaces in B 4 . We use the h –function which is a link invariant from the Heegaard Floer homology to give lower bounds for the 4 –genus of the link. For L –space links, the h –function is explicitly determined by the Alexander polynomials of the link and its sublinks. We show some L –space links where the lower bounds are sharp, and also describe all possible genera of disjoint oriented surfaces bounded by such links.

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Beibei Liu. "Four-genera of links and Heegaard Floer homology." Algebr. Geom. Topol. 19 (7) 3511 - 3540, 2019. https://doi.org/10.2140/agt.2019.19.3511

Information

Received: 1 June 2018; Revised: 4 February 2019; Accepted: 31 March 2019; Published: 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07162213
MathSciNet: MR4045359
Digital Object Identifier: 10.2140/agt.2019.19.3511

Subjects:
Primary: 57M25, 57M27

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 7 • 2019
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