Potentials of homotopy cyclic $\AI$-algebras

Details Potentials of homotopy cyclic $\AI$-algebras Potentials of homotopy cyclic $\AI$-algebras

2010-01-01

arxiv.org/abs/1001.0255v2

Mathematics

Quantum Algebra

18 pages, 1 figure

Scientific paper

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

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