Fukaya Categories of Blow-ups

Abstract: This is joint work with Venugopalan and Xu. In good cases, we construct split-generators for the Fukaya category of sufficiently small symplectic blow-ups. For example, for iterated blow-ups of projective spaces this implies an affirmative answer to Kontsevich's question on the relation between quantum cohomology and Hochschild cohomology of the Fukaya category.

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Boston University Geometry/Physics Seminar

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