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arXiv · 2205.09149

Cofinal morphism of polynomial monads and double delooping

Florian De Leger
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Abstract

Using the theory of internal algebras classifiers developed by Batanin and Berger, we construct a morphism of polynomial monads which we prove is homotopically cofinal. We then describe how this result constitutes the main conceptual argument for a categorical direct double delooping proof of the Turchin-Dwyer-Hess theorem concerning the explicit double delooping of spaces of long knots.

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Florian De Leger. 2022-05-18. Cofinal morphism of polynomial monads and double delooping. https://arxiv.org/abs/2205.09149

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