Florian De Leger

collaborators

5 papers

math.AT2026

Polynomial $2$ -monads and delooping

Florian De Leger

Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the $2$ -categorical context by Weber, we prove the cofinality of a particular morphis…

math.AT2025

A combinatorial approach to Kontsevich's Swiss cheese conjecture

Florian De Leger

From a coloured operad $P$ and a $P$ -algebra $A$ , we construct a new operad $SC (P)$ and a Hochschild object $Hoch (A)$ together with…

math.AT2025

Cofinal morphism of polynomial monads and double delooping

Florian De Leger

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 des…

math.AT2025

Condensation of the operad for multiplicative hyperoperads

Florian De Leger, MaroÅ¡ Grego

We construct a map of operads from an $E_{2}$ -operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an $E_{2}$ -action on the homo…

math.AT2025

The fibration sequences of the lattice path operad

Florian De Leger

We introduce a notion of an operad of complexity $m$ , for $m \geq 1$ . Operads of complexity $1$ are monoids in the category of $N$ -indexed collections, with monoidal produ…

Polynomial 2-monads and delooping

A combinatorial approach to Kontsevich's Swiss cheese conjecture

Cofinal morphism of polynomial monads and double delooping

Condensation of the operad for multiplicative hyperoperads

The fibration sequences of the lattice path operad

Polynomial $2$ -monads and delooping