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