5 papers
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.
Mutual arc presentations and braided open books
Benjamin Bode, Chun-Sheng Hsueh
We show that every canonically fibered link in is the binding of a braided open book in , addressing a question of Montesinos and Morton. We introduce mutual arc present…
On the detection of knots by their traces in high dimensions
Valentina Bais, Alessio Di Prisa, Daniel Hartman +8
For every , we demonstrate the existence of non-isotopic, smooth -knots in with diffeomorphic traces. We give two proofs: the first by generalising the RBG l…
Handle decompositions and stabilizations of open books
Chun-Sheng Hsueh
We build handle decompositions of n-manifolds that encode given open book decompositions and describe handle slides that reveal new open book decompositions on the same underlying…
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…