Notes on A-infinity algebra and its endomorphism I

2013/10/14 by Jie Zhao, J. Zhao, Zhao, Jie
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG

paper · pdf · doi:10.48550/arxiv.1310.3718

15 pages

arxiv created 2013/10/14 · openalex publication_date 2013/10/14 · arxiv updated 2013/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this notes, we study some basic deformation of A-infinity algebra. It includes a two-dimensional rescaling deformation and the Maurer-Cartan element or bounding cochain deformation used in Lagrangian Floer Homology theory. We show that such deformation always can be derived from some (weakly) strict endomorphism equivalently.

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