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Symmetry, Integrability and Geometry: Methods and Applications, 2024, Volume 20, 011, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2024.011 (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
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DOI: https://doi.org/10.3842/SIGMA.2024.011
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.
Funding agency Grant number
National Natural Science Foundation of China 11890663
12071322
11826102
11890660
National Key Research and Development Program of China 2020YFA0714000
Sichuan Science and Technology Program 2022JDTD0019
Japan Society for the Promotion of Science 19H00636
Bohui Chen is supported by the National Natural Science Foundation of China (no. 11890663, no. 12071322, no. 11826102, and no. 11890660), the National Key R&D Program of China (no. 2020YFA0714000), and the Sichuan Science and Technology Program (no. 2022JDTD0019). Kaoru Ono is partly supported by JSPS Grant-in-Aid for Scientific Research 19H00636.
Received: August 4, 2023; in final form January 16, 2024; Published online January 30, 2024
Document Type: Article
MSC: 53D40, 53D37, 57R18
Language: English
Citation: Bohui Chen, Kaoru Ono, Bai-Ling Wang, “Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds”, SIGMA, 20 (2024), 011, 14 pp.
Citation in format AMSBIB
\Bibitem{CheOnoWan24}
\by Bohui~Chen, Kaoru~Ono, Bai-Ling~Wang
\paper Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
\jour SIGMA
\yr 2024
\vol 20
\papernumber 011
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma2013}
\crossref{https://doi.org/10.3842/SIGMA.2024.011}
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