Homology Concordance and Knot Floer Homology
[HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology November 14, 2022 - November 18, 2022
Location: SLMath: Online/Virtual
knot Floer homology
concordance
54C10 - Special maps on topological spaces (open, closed, perfect, etc.)
55-02 - Research exposition (monographs, survey articles) pertaining to algebraic topology
Homology Concordance And Knot Floer Homology
This talk will focus on the homology concordance group of knots in integer homology 3-spheres bounding integer homology 4-spheres. Using knot Floer homology, we will construct integer-valued homomorphisms from the homology concordance group. This leads to the existence of an infinite rank summand of the quotient group of the homology concordance group modded out by knots in the 3-sphere. This is joint work with Irving Dai, Jennifer Hom, and Matthew Stoffregen.
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Homology Concordance and Knot Floer Homology
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Homology Concordance And Knot Floer Homology
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