Infinity-Inner-Products on A-Infinity-Algebras

Details Infinity-Inner-Products on A-Infinity-Algebras Infinity-Inner-Products on A-Infinity-Algebras

2001-08-03

arxiv.org/abs/math/0108027v2

Mathematics

Algebraic Topology

30 pages

Scientific paper

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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