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

Fuente: arXiv
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Autor principal: Ono, Kaoru
Formato: Preprint
Publicado: 2025
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author Ono, Kaoru
author_facet Ono, Kaoru
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20489
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sign Convention for $A_{\infty}$-Operations in Bott-Morse Case
Ono, Kaoru
Symplectic Geometry
Differential Geometry
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.
title Sign Convention for $A_{\infty}$-Operations in Bott-Morse Case
topic Symplectic Geometry
Differential Geometry
url https://arxiv.org/abs/2504.20489