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Insitute of Mathematical Science

Seminar: A Lipshitz-Ozsvath-Thurston correspondence for morphisms

Seminar| Institute of Mathematical Sciences

Time: Wednesday, January 7th, 2026,14:00-15:00

LocationIMS, RS408

Speaker: Sungkyung Kang, University of Cambridge 


Abstract: Lipshitz-Ozsvath-Thurston correspondence states that the knot Floer chain complex of a knot in S^3 combinatorially determines the bordered Floer homology of its complement. The natural question then arises: given a chain endomorphism of CFK, does the correspondence also compute the induced type D endomorphism of CFD? We answer this question in the affirmative. This is an ongoing joint work with Gary Guth.


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