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Pré-Publication, Document De Travail Année : 2020

The Deligne-Mumford operad as a trivialization of the circle action

Résumé

We prove that the tree-like Deligne-Mumford operad is a homotopical model for the trivialization of the circle in the higher-genus framed little discs operad. Our proof is based on a geometric argument involving nodal annuli. We use Riemann surfaces with analytically parametrized boundary as a model for higher-genus framed little discs.

Dates et versions

hal-03858845 , version 1 (17-11-2022)

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Alexandru Oancea, Dmitry Vaintrob. The Deligne-Mumford operad as a trivialization of the circle action. 2020. ⟨hal-03858845⟩
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