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Infinity-Inner-Products on A-Infinity-Algebras

Thomas Tradler
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Abstract

In this paper the Hochschild-cochain-complex of an A-infinity-algebra A with values in an A-infinity-bimodule M over A and maps between them is defined. Then, an infinity-inner-product on A is defined to be an A-infinity-bimodule-map between A and its dual A*. There is a graph-complex associated to A-infinity-algebras with infinity-inner-product.

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Thomas Tradler. 2002-01-22. Infinity-Inner-Products on A-Infinity-Algebras. https://arxiv.org/abs/math/0108027

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