3 papers
math.GT2026
Legendrian simple knots not detected by Khovanov homology
Chun-Sheng Hsueh, Marc Kegel, David Suchodoll +1
In this short note, we exhibit a Legendrian simple knot that is not detected by Khovanov homology. This disproves a conjecture of Chernov and Maguire.
math.GT2025
On the multiplicity of Knot Floer order under cabling
David Suchodoll
The knot Floer order is a knot invariant derived from knot Floer homology that provides bounds on many other invariants, such as the bridge index $\operator…
math.GT2024
Algorithms in 4-manifold topology
Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…