3 citations · 6 across the 8 of their papers we have counts for
8 papers
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…
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…
Unknotted Curves on Seifert Surfaces
Subhankar Dey, Veronica King, Colby T. Shaw +2
We consider homologically essential simple closed curves on Seifert surfaces of genus one knots in , and in particular those that are unknotted or slice in . We completel…
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…
Rank Bounds in Link Floer Homology and Detection Results
Fraser Binns, Subhankar Dey
Viewing the BRAID invariant as a generator of link Floer homology we generalise work of Baldwin-Vela-Vick to obtain rank bounds on the next to top grading of knot Floer homology. T…
A Combinatorial Description of the Knot Concordance Invariant Epsilon
Subhankar Dey, Hakan Doga
In this paper, we give a combinatorial description of the concordance invariant defined by Hom in \cite{hom2011knot}, prove some properties of this invariant using gr…
A note on a Geography problem in knot Floer homology
Subhankar Dey
We prove that knot Floer homology of a certain class of knots is non-trivial in next-to-top Alexander grading. This gives a partial affirmative answer to a question posed by Baldwi…
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 an…