Homotopically trivializing the circle in the framed little disks

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

This paper confirms the following suggestion of Kontsevich. In the
appropriate derived sense, an action of the framed little disks operad and a
trivialization of the circle action is the same information as an action of the
Deligne-Mumford-Knudsen operad. This improves an earlier result of the author
and Bruno Vallette.

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