6 papers · 1 filter
Four manifolds with no smooth spines
Igor Belegradek, Beibei Liu
Let be a compact smooth -manifold that deformation retract to a PL embedded closed surface. One can arrange the embedding to have at most one non-locally-flat point, and nea…
Triple linking numbers and Heegaard Floer homology
Eugene Gorsky, Tye Lidman, Beibei Liu +1
We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex,…
Fibered and strongly quasi-positive -space links
Alberto Cavallo, Beibei Liu
Every -space knot is fibered and strongly quasi-positive, but this does not hold for -space links. In this paper, we use the so called H-function, which is a concordance link…
L-space surgeries on 2-component L-space links
Beibei Liu
In this paper, we analyze L-space surgeries on two component L-space links. We show that if one surgery coefficient is negative for the L-space surgery, then the corresponding link…
Surgery on links of linking number zero and the Heegaard Floer -invariant
Eugene Gorsky, Beibei Liu, Allison H. Moore
We study Heegaard Floer homology and various related invariants (such as the -function) for two-component L-space links with linking number zero. For such links, we explicitly d…
Four genera of links and Heegaard Floer homology
Beibei Liu
For links with vanishing pairwise linking numbers, the link components bound pairwise disjoint surfaces in . In this paper, we describe the set of genera of such surfaces in…