AbstractKhovanov homology and its relatives are known to be governed by the representation theory ofKLRW algebras (quiver Hecke algebra). Here we discuss a way to realize the KLRW algebra as theendomorphism algebra of certain Lagrangian in the (partially) wrapped Fukaya category on a 3dN=4 Coulomb branch. This is joint work with Mina Aganagic, lvan Danilenko, Yixuan Li and VivekShende
Abstract：Holomorphic Floer Theory is the name of our joint project (in fact a program) with Maxim Kontsevich.It is devoted to various aspects of the Floer theory of complex symplectic manifolds.Among applications of our approach there are generalizations of the Riemann-Hilbert correspondence and non-abelian Hodge theory, relation of the Fukaya categories with periodic monopoles,conceptual unde...
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