# Internet publication

## Stabilization distance bounds from link Floer homology

Abstract:

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 th...

Publication status:
Submitted

### Access Document

Publication website:
https://arxiv.org/abs/1810.09158

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-3705-2288
Publisher:
Cornell University Publisher's website
Publication date:
2018-10-22
Language:
English
Keywords:
Pubs id:
1136249
Local pid:
pubs:1136249
Deposit date:
2020-10-06