Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 20 (2024), 011, 14 pages      arXiv:2308.01595      https://doi.org/10.3842/SIGMA.2024.011
Contribution to the Special Issue on Differential Geometry Inspired by Mathematical Physics in honor of Jean-Pierre Bourguignon for his 75th birthday

Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds

Bohui Chen ^a, Kaoru Ono ^b and Bai-Ling Wang ^c
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

Received August 04, 2023, in final form January 16, 2024; Published online January 30, 2024; References corrected February 05, 2024

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.

Key words: Floer theory; orbifold Lagrangians; dihedral twisted sectors.

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