COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Stabilization distance bounds from link Floer homology

## Stabilization distance bounds from link Floer homologyAdd to your list(s) Download to your calendar using vCal - Andras Juhasz, Oxford
- Wednesday 28 November 2018, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Ivan Smith. 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. We show that these give lower bounds on the stabilization distance and the double point distance. We compute our invariants for some pairs of deform-spun slice disks by proving a trace formula on the full infinity knot Floer complex, and by determining the action on knot Floer homology of an automorphism of the connected sum of a knot with itself that swaps the two summands. This is joint work with Ian Zemke. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Differential Geometry and Topology Seminar
- MR13
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsData mining Modern Irish History Seminar Stem Cell Seminars and Events in Cambridge## Other talksParticle Physics & CERN Languages, speakers and history: Romance and Greek in Southern Italy The tension between generality and diversity: what makes biology so cool Title: When lightning strikes twice: stroke and cancer Goldman Sachs: Banking with Bots – Machine Learning and Natural Language Processing Sexual conflict in ecological context |