Page 592 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 592
LOW-DIMENSIONAL TOPOLOGY (MS-11)
Embedding spheres in knot traces
Arunima Ray, aruray@mpim-bonn.mpg.de
Max Planck Institute for Mathematics, Germany
Coauthors: Peter Feller, Allison Miller, Matthias Nagel, Patrick Orson, Mark Powell
We characterise when the generator of the second homotopy group of a knot trace can be repre-
sented by a locally flat embedded 2-sphere with abelian fundamental group of the complement,
in terms of classical and computable invariants of the corresponding knot.
Khovanov homology and the cinquefoil
Steven Sivek, s.sivek@imperial.ac.uk
Imperial College London, United Kingdom
In this talk I will outline a proof that Khovanov homology detects the (2,5) torus knot. The
proof makes use of deep results in Floer homology and many recent developments in Khovanov
homology and homotopy, but, perhaps surprisingly, it does not require us to know that knot
Floer homology detects T2,5. This is joint work with John Baldwin and Ying Hu.
On the cosmetic surgery conjecture
Andras Stipsicz, stipsicz.andras@renyi.hu
Alfréd Rényi Institute of Mathematics, Hungary
We discuss recent advances in the cosmetic surgery conjecture.
Algebraic fibrations of surface-by-surface groups
Stefano Vidussi, svidussi@ucr.edu
University of California, Riverside, United States
An algebraic fibration of a group G is an epimorphism to the integers with a finitely generated
kernel. This notion has been studied at least since the ’60s, and has recently attracted renewed
attention. Among other things, we will study it in the context of fundamental groups of surface
bundles over a surface, where it has some interesting relations with some classical problems
about the mapping class group.
Obstructing Stein fillings by filtering the Heegaard Floer contact invariant
Andrew Wand, andy.wand@glasgow.ac.uk
University of Glasgow, United Kingdom
The ‘contact invariant’ in Heegaard floer homology has been one of the most widely-used tools
in the field of contact topology since its introduction 2 decades ago by Ozsvath and Szabo.
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Embedding spheres in knot traces
Arunima Ray, aruray@mpim-bonn.mpg.de
Max Planck Institute for Mathematics, Germany
Coauthors: Peter Feller, Allison Miller, Matthias Nagel, Patrick Orson, Mark Powell
We characterise when the generator of the second homotopy group of a knot trace can be repre-
sented by a locally flat embedded 2-sphere with abelian fundamental group of the complement,
in terms of classical and computable invariants of the corresponding knot.
Khovanov homology and the cinquefoil
Steven Sivek, s.sivek@imperial.ac.uk
Imperial College London, United Kingdom
In this talk I will outline a proof that Khovanov homology detects the (2,5) torus knot. The
proof makes use of deep results in Floer homology and many recent developments in Khovanov
homology and homotopy, but, perhaps surprisingly, it does not require us to know that knot
Floer homology detects T2,5. This is joint work with John Baldwin and Ying Hu.
On the cosmetic surgery conjecture
Andras Stipsicz, stipsicz.andras@renyi.hu
Alfréd Rényi Institute of Mathematics, Hungary
We discuss recent advances in the cosmetic surgery conjecture.
Algebraic fibrations of surface-by-surface groups
Stefano Vidussi, svidussi@ucr.edu
University of California, Riverside, United States
An algebraic fibration of a group G is an epimorphism to the integers with a finitely generated
kernel. This notion has been studied at least since the ’60s, and has recently attracted renewed
attention. Among other things, we will study it in the context of fundamental groups of surface
bundles over a surface, where it has some interesting relations with some classical problems
about the mapping class group.
Obstructing Stein fillings by filtering the Heegaard Floer contact invariant
Andrew Wand, andy.wand@glasgow.ac.uk
University of Glasgow, United Kingdom
The ‘contact invariant’ in Heegaard floer homology has been one of the most widely-used tools
in the field of contact topology since its introduction 2 decades ago by Ozsvath and Szabo.
590
