Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds

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

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2024
Hauptverfasser: Chen, Bohui, Ono, Kaoru, Wang, Bai-Ling
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2024
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/212112
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds. Bohui Chen, Kaoru Ono and Bai-Ling Wang. SIGMA 20 (2024), 011, 14 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Chen, Bohui
Ono, Kaoru
Wang, Bai-Ling
author_facet Chen, Bohui
Ono, Kaoru
Wang, Bai-Ling
citation_txt Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds. Bohui Chen, Kaoru Ono and Bai-Ling Wang. SIGMA 20 (2024), 011, 14 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description The notion of twisted sectors plays a crucial role in orbifold Gromov-Witten theory. We introduce the notion of dihedral twisted sectors to construct Lagrangian Floer theory on symplectic orbifolds and discuss related issues.
first_indexed 2026-03-13T13:01:57Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-13T13:01:57Z
publishDate 2024
publisher Інститут математики НАН України
record_format dspace
spelling Chen, Bohui
Ono, Kaoru
Wang, Bai-Ling
2026-01-28T13:57:09Z
2024
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds. Bohui Chen, Kaoru Ono and Bai-Ling Wang. SIGMA 20 (2024), 011, 14 pages
1815-0659
2020 Mathematics Subject Classification: 53D40; 53D37; 57R18
arXiv:2308.01595
https://nasplib.isofts.kiev.ua/handle/123456789/212112
https://doi.org/10.3842/SIGMA.2024.011
The notion of twisted sectors plays a crucial role in orbifold Gromov-Witten theory. We introduce the notion of dihedral twisted sectors to construct Lagrangian Floer theory on symplectic orbifolds and discuss related issues.
We would like to express our gratitude to anonymous referees for their careful reading. 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. He is also grateful to the National Center for Theoretical Sciences, Taiwan, where a part of this work was performed.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Article
published earlier
spellingShingle Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
Chen, Bohui
Ono, Kaoru
Wang, Bai-Ling
title Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
title_full Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
title_fullStr Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
title_full_unstemmed Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
title_short Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
title_sort twisted sectors for lagrangian floer theory on symplectic orbifolds
url https://nasplib.isofts.kiev.ua/handle/123456789/212112
work_keys_str_mv AT chenbohui twistedsectorsforlagrangianfloertheoryonsymplecticorbifolds
AT onokaoru twistedsectorsforlagrangianfloertheoryonsymplecticorbifolds
AT wangbailing twistedsectorsforlagrangianfloertheoryonsymplecticorbifolds