The nonequivariant coherent-constructible correspondence for toric stacks

By T. Kuwagaki. Duke mathematical journal, 2015

57 citations recorded by the source corpus.

We prove the nonequivariant coherent-constructible correspondence conjectured by Fang-Liu-Treumann-Zaslow in the case of toric surfaces. Our proof is based on describing a semi-orthogonal decomposition of the constructible side under toric point blow-up and comparing it with Orlov's theorem.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3e6e5a43e4cae99a355a1920f29e0d2246106af4

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In Discrete Mathematics and Combinatorics

1. J. Pardon
2. Sheel Ganatra
3. Vivek V. Shende
4. L. Gottsche

In Geometry and Topology

1. Vivek V. Shende
2. J. Pardon
3. Sheel Ganatra
4. Zachary Sylvan
5. Nick Sheridan
6. I. Smith
7. Alexander F. Ritter
8. L. Gottsche

In Mathematical Physics

1. J. Pardon
2. Vivek V. Shende
3. Sheel Ganatra
4. Zachary Sylvan
5. Nick Sheridan
6. I. Smith
7. L. Gottsche
8. Alexander F. Ritter

Citations in the corpus

• Microlocal Morse theory of wrapped Fukaya categories (2018, methodology): “They conjectured,(10) and [27] proved, that Sh∂∞ΛT((S (1))) = Coh(T), where we use Coh to denote the dg category of coherent complexes.”