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Homological knot invariants from mirror symmetry

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Aganagic's invariant is Khovanov homology

math.SG · 2025-05-01 · conditional · novelty 7.0

A direct calculation shows the geometric braid action on Fukaya-Seidel categories of Coulomb branches agrees with Webster's combinatorial action, so Aganagic's invariant is Khovanov homology over the integers.

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  • Aganagic's invariant is Khovanov homology math.SG · 2025-05-01 · conditional · none · ref 5

    A direct calculation shows the geometric braid action on Fukaya-Seidel categories of Coulomb branches agrees with Webster's combinatorial action, so Aganagic's invariant is Khovanov homology over the integers.