4 papers
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 knotted spheres 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 by generalising the RBG link construction to all dimensio…
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…
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…