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.
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To many of th...
- Publication status:
- Submitted
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Bibliographic Details
- Publisher:
- Cornell University Publisher's website
- Publication date:
- 2018-10-22
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1136249
- Local pid:
- pubs:1136249
- Deposit date:
- 2020-10-06
Terms of use
- Copyright holder:
- Juhasz, A and Zemke, I
- Copyright date:
- 2018
- Rights statement:
- © The Authors.
- Notes:
- This is the author's original version of the article which is available online at: https://arxiv.org/abs/1810.09158
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