Crossed interval groups and operations on the Hochschild cohomology

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Crossed Interval Groups and Operations on the Hochschild Cohomology

We introduce crossed interval groups and construct a crossed interval analog IS of the Fiedorowicz-Loday symmetric category ∆S. We prove that the functor FS(−) of the free IS-extension of an I-object does not change homotopy type. We then observe that the operad B of natural operations on the Hochschild cohomology equals FS(T ), where T is an operad whose homotopy type is known. We conclude fro...

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ژورنال

عنوان ژورنال: Journal of Noncommutative Geometry

سال: 2014

ISSN: 1661-6952

DOI: 10.4171/jncg/167