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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2024 Volume 20, 011, 14 pp. (Mi sigma2013)
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds

Bohui Chena, Kaoru Onob, Bai-Ling Wangc

a School of Mathematics, Sichuan University, Chengdu 610064, P.R. China
b Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
c Mathematical Sciences Institute, The National Australian University, Canberra ACT 2601, Australia

Abstract: The notion of twisted sectors play a crucial role in orbifold Gromov–Witten theory. We introduce the notion of dihedral twisted sectors in order to construct Lagrangian Floer theory on symplectic orbifolds and discuss related issues.

Keywords: Floer theory, orbifold Lagrangians, dihedral twisted sectors.

MSC: 53D40, 53D37, 57R18

Received: August 4, 2023; in final form January 16, 2024; Published online January 30, 2024

Language: English

DOI: 10.3842/SIGMA.2024.011


ArXiv: 2308.01595

© Steklov Math. Inst. of RAS, 2024