4 papers · 1 filter
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…
Cable knots are not thin
Subhankar Dey
Using the Bordered Floer theory of Lipshitz-Ozsváth-Thurston we prove that the -cables of any non-trivial knots are not Heegaard Floer homologically thin. Using the proof a…
Floer homology, clasp-braids and detection results
Fraser Binns, Subhankar Dey
Martin showed that link Floer homology detects braid axes. In this paper we extend this result to give a topological characterisation of links which are almost braided from the poi…
Cable Links, Annuli and Sutured Floer homology
Fraser Binns, Subhankar Dey
We apply sutured Floer homology techniques to study the knot and link Floer homologies of various links with annuli embedded in their exteriors. Our main results include, for large…