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SIGMA 21 (2025), 030, 16 pages arXiv:2504.20489
https://doi.org/10.3842/SIGMA.2025.030
Contribution to the Special Issue on Integrability, Geometry, Moduli in honor of Motohico Mulase for his 65th birthday
Sign Convention for $A_{\infty}$-Operations in Bott-Morse Case
Kaoru Ono
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Received July 14, 2024, in final form March 03, 2025; Published online April 29, 2025
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.
Key words: filtered $A_{\infty}$-operation; Kuranishi structure; bordered stable map.
pdf (441 kb)
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References
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