Under mild assumptions the orbifold Hecke algebra of [X/G] is isomorphic to the degree-0 cohomology of the A∞-endomorphism algebra of a regular cotangent fiber in the bulk-deformed wrapped Fukaya category of T*[X/G].
SIGMA Symmetry Integrability Geom
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Obstructions to smoothing orbicurves and Orbifold Hecke algebras
Under mild assumptions the orbifold Hecke algebra of [X/G] is isomorphic to the degree-0 cohomology of the A∞-endomorphism algebra of a regular cotangent fiber in the bulk-deformed wrapped Fukaya category of T*[X/G].