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2020 On Gromov-Witten Theory of Toric Gerbes
Hsian-Hua Tseng
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Albanian J. Math. 14(1): 3-23 (2020). DOI: 10.51286/albjm/1608313763

Abstract

Toric gerbes are étale gerbes over toric Deligne-Mumford stacks which are constructed out of suitably chosen toric data. In this paper we study the genus 0 Gromov-Witten theory of toric gerbes. Our main result equates the genus 0 Gromov-Witten theory of a toric gerbe with a suitable twist of the genus 0 Gromov-Witten theory of a disjoint union of several copies of the base. Our result can be interpreted in the context of the decomposition conjecture in physics. The main tool used in this paper is the calculation of Gromov-Witten theory of toric Deligne-Mumford stacks by Coates-Corti-Iritani-Tseng.

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Hsian-Hua Tseng. "On Gromov-Witten Theory of Toric Gerbes." Albanian J. Math. 14 (1) 3 - 23, 2020. https://doi.org/10.51286/albjm/1608313763

Information

Published: 2020
First available in Project Euclid: 18 December 2020

zbMATH: 1448.14055
MathSciNet: MR4044424
Digital Object Identifier: 10.51286/albjm/1608313763

Subjects:
Primary: 14N35
Secondary: 14A20, 14M25

Rights: Copyright © 2020 Research Institute of Science and Technology (RISAT)

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Vol.14 • No. 1 • 2020
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