This week's seminars
Geometry and Topology Seminar: Stabilization distance bounds from link Floer homology
24 January 2019 13:00 in CM301
We consider the set of connected surfaces in the 4-ball that bound a fixed knot in the 3-sphere.
We define the stabilization distance between two surfaces as the minimal g such that we can get from one
to the other using stabilizations and destabilizations through surfaces of genus at most g.
Similarly, we obtain the double point distance between two surfaces of the same genus by minimizing
the maximal number of double points appearing in a regular homotopy connecting them.
To many of the concordance invariants defined using Heegaard Floer homology, we construct an analogous invariant for a pair of surfaces
that give lower bounds on the stabilization distance and the double point distance.
This is joint work with Ian Zemke.