1 citations · 2 across the 8 of their papers we have counts for
9 papers
Polynomial -monads and delooping
Florian De Leger
Using the homotopy theory of polynomial monads developed by Batanin and Berger and extended to the -categorical context by Weber, we prove the cofinality of a particular morphis…
A combinatorial approach to Kontsevich's Swiss cheese conjecture
Florian De Leger
From a coloured operad and a -algebra , we construct a new operad and a Hochschild object together with…
Condensation of the operad for multiplicative hyperoperads
Florian De Leger, Maroš Grego
We construct a map of operads from an -operad to the condensation of the operad for multiplicative hyperoperads. We deduce from it the existence of an -action on the homo…
The fibration sequences of the lattice path operad
Florian De Leger
We introduce a notion of an operad of complexity , for . Operads of complexity are monoids in the category of -indexed collections, with monoidal produ…
Quasi-tame substitudes and the Grothendieck construction
Michael Batanin, Florian De Leger, David White
This paper continues the study of the homotopy theory of algebras over polynomial monads initiated by the first author and Clemens Berger. We introduce the notion of a quasi-tame p…
Model structures on operads and algebras from a global perspective
Michael Batanin, Florian De Leger, David White
This paper studies the homotopy theory of the Grothendieck construction using model categories and semi-model categories, provides a unifying framework for the homotopy theory of o…
Triple delooping for multiplicative hyperoperads
Florian De Leger, Maroš Grego
Using techniques developed by Batanin and the first author, we extend the Turchin/Dwyer-Hess double delooping result to further iterations of the Baez-Dolan plus construction. For…
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…
Polynomial monads and delooping of mapping spaces
Michael Batanin, Florian De Leger
We extend some classical results - such as Quillen's Theorem A, the Grothendieck construction, Thomason's Theorem and the characterisation of homotopically cofinal functors - from…