The nonequivariant coherent-constructible correspondence for toric stacks
Tatsuki Kuwagaki
Abstract
The nonequivariant coherent-constructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang, Liu, Treumann, and Zaslow. We prove a generalization of this conjecture for a class of toric stacks which includes any toric variety and toric orbifold. Our proof is based on gluing descriptions of ∞-categories of both sides.
Topics & Concepts
MathematicsConjectureOrbifoldGeneralizationToric varietyPure mathematicsQuotientClass (philosophy)Interpretation (philosophy)Algebra over a fieldMathematical analysisComputer scienceArtificial intelligenceProgramming languageAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic TopologyAdvanced Combinatorial Mathematics