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Symmetry, Integrability and Geometry: Methods and Applications, 2025, Volume 21, 030, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2025.030
(Mi sigma2147)
 

This article is cited in 1 scientific paper (total in 1 paper)

Sign Convention for $A_{\infty}$-Operations in Bott–Morse Case

Kaoru Ono

Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Full-text PDF (441 kB) Citations (1)
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Abstract: We describe the sign and orientation issue appearing the filtered $A_{\infty}$-formulae in Lagrangian Floer theory using de Rham model in Bott–Morse setting. After giving the definition of filtered $A_{\infty}$-operations in a Fukaya category, we verify the filtered $A_{\infty}$-formulae.
Keywords: filtered $A_{\infty}$-operation, Kuranishi structure, bordered stable map.
Funding agency Grant number
Japan Society for the Promotion of Science 19H00636
24H00182
The author is partially supported by JSPS Grant-in-Aid for Scientific Research 19H00636, 24H00182.
Received: July 14, 2024; in final form March 3, 2025; Published online April 29, 2025
Document Type: Article
MSC: 53D40, 53D37, 58A99
Language: English
Citation: Kaoru Ono, “Sign Convention for $A_{\infty}$-Operations in Bott–Morse Case”, SIGMA, 21 (2025), 030, 16 pp.
Citation in format AMSBIB
\Bibitem{Ono25}
\by Kaoru~Ono
\paper Sign Convention for $A_{\infty}$-Operations in Bott--Morse Case
\jour SIGMA
\yr 2025
\vol 21
\papernumber 030
\totalpages 16
\mathnet{http://mi.mathnet.ru/sigma2147}
\crossref{https://doi.org/10.3842/SIGMA.2025.030}
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  • This publication is cited in the following 1 articles:
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