Homology, Homotopy and Applications
Volume 14 (2012)
Potentials of homotopy cyclic A-infinity algebras
Pages: 203 – 220
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.
A-infinity algebra, cyclic inner product, potential
2010 Mathematics Subject Classification