19 Answers votes newest views recent 3Analytic tools in algebraic geometry 1A few questions about Kontsevich formality 3Deformation quantization and quantum cohomology (or Fukaya category) — are they related? 2Quantization and noncommutative deformations 5Schroeder-Bernstein for Rings 5Holomorphic vector bundles and Swan’s theorem 5Why is the string group not a Lie group? 3What is the Gromov-Witten potential associated to String Topology? 8When is a quasi-isomorphism necessarily a homotopy equivalence? 7What is geometric intuition of special Lagrangian manifolds? 3Is a quasi-iso in Lie algebra cohomology necessarily an iso? 3Noncommutative Fukaya category? 4symplectic form with partition on unity 3What are the general techniques for proving a variety is not toric? 1A Question on Koszul duality and $B(\infty)$ structures on $HH^*$ 1Quantum cohomology for open varieties 3Is there some textbook for the details of the computation of the homology groups 6What information is required for SYZ mirror symmetry? 6Questions on how SYZ conjectures is deduced from HMS conjeture.