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Quiver Hecke algebras from Floer homology in Couloumb branches

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arxiv 2406.04258 v1 pith:VKS2ZFSB submitted 2024-06-06 math.SG hep-thmath.GTmath.RT

Mina Aganagic , Ivan Danilenko , Yixuan Li , Vivek Shende , Peng Zhou This is my paper · ORCID
classification math.SGhep-thmath.GTmath.RT
keywords algebrashomologybranchescylindricalfloerheckeklrwlink
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Homology theories categorifying quantum group link invariants are known to be governed by the representation theory of quiver Hecke algebras, also called KLRW algebras. Here we show that certain cylindrical KLRW algebras, relevant in particular for cylindrical generalizations of link homology theories, can be realized by Lagrangian Floer homology in multiplicative Coulomb branches. This confirms a homological mirror symmetry prediction of the first author.

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Cited by 1 Pith paper

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  1. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

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