Locally constant n-operads as higher braided operads

Mathematics – Algebraic Topology

Scientific paper

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to appear in "Noncommutative Geometry"

Scientific paper

We introduce a category of locally constant $n$-operads which can be
considered as the category of higher braided operads. For $n=1,2,\infty$ the
homotopy category of locally constant $n$-operads is equivalent to the homotopy
category of classical nonsymmetric, braided and symmetric operads
correspondingly.

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