Sign Convention for ∞-Operations in Bott-Morse Case
We describe the sign and orientation issue appearing in the filtered ∞-formulae in Lagrangian Floer theory using the de Rham model in the Bott-Morse setting. After defining filtered ∞-operations in a Fukaya category, we verify the filtered ∞-formulae.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2025 |
| ISSN: | 1815-0659 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/213184 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Sign Convention for ∞-Operations in Bott-Morse Case. Kaoru Ono. SIGMA 21 (2025), 030, 16 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862702810416545792 |
|---|---|
| author | Ono, Kaoru |
| author_facet | Ono, Kaoru |
| citation_txt | Sign Convention for ∞-Operations in Bott-Morse Case. Kaoru Ono. SIGMA 21 (2025), 030, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We describe the sign and orientation issue appearing in the filtered ∞-formulae in Lagrangian Floer theory using the de Rham model in the Bott-Morse setting. After defining filtered ∞-operations in a Fukaya category, we verify the filtered ∞-formulae.
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| first_indexed | 2026-03-18T16:23:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213184 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T16:23:30Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ono, Kaoru 2026-02-16T16:35:01Z 2025 Sign Convention for ∞-Operations in Bott-Morse Case. Kaoru Ono. SIGMA 21 (2025), 030, 16 pages 1815-0659 2020 Mathematics Subject Classification: 53D40; 53D37; 58A99 arXiv:2504.20489 https://nasplib.isofts.kiev.ua/handle/123456789/213184 https://doi.org/10.3842/SIGMA.2025.030 We describe the sign and orientation issue appearing in the filtered ∞-formulae in Lagrangian Floer theory using the de Rham model in the Bott-Morse setting. After defining filtered ∞-operations in a Fukaya category, we verify the filtered ∞-formulae. The author is partially supported by JSPS Grant-in-Aid for Scientific Research 19H00636, 24H00182. He is also grateful for the National Center for Theoretical Sciences, Taiwan, where a part of this work was carried out. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Sign Convention for ∞-Operations in Bott-Morse Case Article published earlier |
| spellingShingle | Sign Convention for ∞-Operations in Bott-Morse Case Ono, Kaoru |
| title | Sign Convention for ∞-Operations in Bott-Morse Case |
| title_full | Sign Convention for ∞-Operations in Bott-Morse Case |
| title_fullStr | Sign Convention for ∞-Operations in Bott-Morse Case |
| title_full_unstemmed | Sign Convention for ∞-Operations in Bott-Morse Case |
| title_short | Sign Convention for ∞-Operations in Bott-Morse Case |
| title_sort | sign convention for ∞-operations in bott-morse case |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213184 |
| work_keys_str_mv | AT onokaoru signconventionforoperationsinbottmorsecase |