Potentials of homotopy cyclic $\AI$-algebras

Cheol-Hyun Cho; Sangwook Lee

Potentials of homotopy cyclic $\AI$-algebras

Quantum Algebra 2014-03-19 v2

Authors: Cheol-Hyun Cho , Sangwook Lee

Abstract

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.

Keywords

homotopy cyclic A-infinity algebras potential structure constants generalized holonomy map algebraic analogue

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@article{arxiv.1001.0255,
  title  = {Potentials of homotopy cyclic $\AI$-algebras},
  author = {Cheol-Hyun Cho and Sangwook Lee},
  journal= {arXiv preprint arXiv:1001.0255},
  year   = {2014}
}

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18 pages, 1 figure

Potentials of homotopy cyclic $\AI$-algebras

Abstract

Keywords

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