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Gage Martin, Zoom: Khovanov homology, knot Floer homology, and link detection
Monday, March 08, 2021, 02:00pm - 03:00pm
Khovanov homology and knot/link Floer homology are invariants of links in $S^3$ categorifying the more classical Jones and Alexander polynomials respectively. There are many formal similarities between the theories but some key differences as well. The relationships between Khovanov homology and knot/link Floer homology has been a source of inspiration in each theory. In this talk, we will give an overview of both theories in the context of link detection, mention some of techniques used in proving detection results in each of the theories, and sketch proofs that Khovanov homology detects the torus link T(2,6) and link Floer homology detects the torus links T(2,2n). This is partially joint work with Fraser Binns.
Location: Zoom

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