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Geometry and Topology Seminar

Friday, April 19, 2019
3:00pm to 5:00pm
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Linde Hall 187
Strands algebras and Ozsváth-Szabó's Kauffman states functor
Marco Marengon, Department of Mathematics, UCLA,

Ozsváth and Szabó introduced in 2016 a knot invariant, which they announced to be isomorphic to the usual knot Floer homology. Their construction is reminiscent of bordered Floer homology: for example, their invariant is defined by tensoring bimodules over certain algebras.

During the talk I will introduce a more geometric construction, closer in spirit to bordered sutured Floer homology, based on strands on a particular class of generalised arc diagrams. The resulting strands algebras are quasi-isomorphic to the Ozsváth-Szabó algebras, suggesting that Ozsváth and Szabó's theory may be part of a hypothetical generalisation of bordered sutured Floer homology. This is a joint work with Mike Willis and Andy Manion.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at [email protected].