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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…
math.GT2024
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…
math.GT2023
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…