5 papers · 1 filter
Relative dendroidal Rezk nerve and applications
Kensuke Arakawa, Victor Carmona, Francesca Pratali
We extend the dendroidal Rezk nerve to the setting of relative -operads. Our main theorem relates it to localization of -operads, generalizing a theorem of Mazel-Ge…
Algebras over not too little discs
Damien Calaque, Victor Carmona
By the introduction of locally constant prefactorization algebras at a fixed scale, we show a mathematical incarnation of the fact that observables at a given scale of a topologica…
Additivity of constructible factorization algebras over manifolds with corners
Victor Carmona, Anja Å vraka
We prove the statement in the title, solving in this way a conjecture stated by Ginot for manifolds with corners. Along the way, we establish a derived Swiss-cheese additivity theo…
Enveloping operads and applications
Victor Carmona
This work addresses the homotopical analysis of enveloping operads in a general cofibrantly generated symmetric monoidal model category. We show the potential of this analysis by o…
A simple characterization of Quillen adjunctions
Victor Carmona
We observe that an enriched right adjoint functor between model categories which preserves acyclic fibrations and fibrant objects is quite generically a right Quillen functor.