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

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.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2025-04-29
DOI
https://doi.org/10.3842/sigma.2025.030
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Kaoru Ono
Symmetry Integrability and Geometry Methods and Applications
Benford’s Law and Fraud Detection
article

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

Kaoru Ono
article en

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.

Symmetry Integrability and Geometry Methods and Applications
Kyoto University (JP)
National Center for Theoretical Sciences, Japan Society for the Promotion of Science
Openalex Percentile: Top 91%
Benford’s Law and Fraud Detection
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Sign Convention for $A_{\infty}$-operations in Bott-Morse Case — Kaoru Ono · Symmetry Integrability and Geometry Methods and Applications (2025) | TGRS Research Map | TGRS