15 August 2020 The nonequivariant coherent-constructible correspondence for toric stacks
Tatsuki Kuwagaki
Duke Math. J. 169(11): 2125-2197 (15 August 2020). DOI: 10.1215/00127094-2020-0011


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.


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Tatsuki Kuwagaki. "The nonequivariant coherent-constructible correspondence for toric stacks." Duke Math. J. 169 (11) 2125 - 2197, 15 August 2020. https://doi.org/10.1215/00127094-2020-0011


Received: 19 September 2017; Revised: 1 February 2020; Published: 15 August 2020
First available in Project Euclid: 15 July 2020

MathSciNet: MR4132582
Digital Object Identifier: 10.1215/00127094-2020-0011

Primary: 53D37
Secondary: 35A27

Keywords: homological mirror symmetry , microlocal geometry

Rights: Copyright © 2020 Duke University Press

Vol.169 • No. 11 • 15 August 2020
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