Florian De Leger

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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

Condensation of the operad for multiplicative hyperoperads

Florian De Leger, Maroš 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…