Infinity-Inner-Products on A-Infinity-Algebras
classification
🧮 math.AT
keywords
a-infinity-algebrasdefinedinfinity-inner-producta-infinity-algebraa-infinity-bimodulea-infinity-bimodule-mapassociateddual
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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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