Geodesic
Four-genera of links and Heegaard Floer homology
Liu, Beibei1
1 Department of Mathematics, University of California, Davis, Davis, CA, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3511-3540

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

For links with vanishing pairwise linking numbers, the link components bound pairwise disjoint oriented surfaces in B4. 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.

DOI : 10.2140/agt.2019.19.3511
Classification : 57M25, 57M27
Keywords: four-genus bounds, $L$–space links, $d$–invariants

Liu, Beibei 1

1 Department of Mathematics, University of California, Davis, Davis, CA, United States 
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Liu, Beibei. Four-genera of links and Heegaard Floer homology. Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3511-3540. doi: 10.2140/agt.2019.19.3511

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