Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Iritani, Hiroshi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210718
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks. Hiroshi Iritani. SIGMA 16 (2020), 032, 111 pages

We introduce a global Landau-Ginzburg model that is mirror to several toric Deligne-Mumford stacks and describe the change of the Gromov-Witten theories under discrepant transformations. We prove a formal decomposition of the quantum cohomology D-modules (and of the all-genus Gromov-Witten potential...