Homology, Homotopy and Applications

Volume 14 (2012)

Number 1

Potentials of homotopy cyclic A-infinity algebras

Pages: 203 – 220

DOI: https://dx.doi.org/10.4310/HHA.2012.v14.n1.a10

Authors

Cheol-Hyun Cho (Department of Mathematical Sciences, Seoul National University, Seoul, South Korea)

Sangwook Lee (Department of Mathematical Sciences, Seoul National University, Seoul, South Korea)

Abstract

For a cyclic A-infinity algebra, a potential recording the structure constants can be defined. We define an analogous potential for a homotopy cyclic A-infinity algebra and prove its properties. On the other hand, we find another different potential for a homotopy cyclic A-infinity algebra, which is related to the algebraic analogue of generalized holonomy map of Abbaspour, Tradler and Zeinalian.

Keywords

A-infinity algebra, cyclic inner product, potential

2010 Mathematics Subject Classification

46Cxx, 53Dxx

Published 13 July 2012