1 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
Prefactorization algebras of superselection sectors
Marco Benini, Victor Carmona, Alexander Schenkel
This paper revisits the theory of superselection sectors in algebraic quantum field theory from the modern perspective of prefactorization algebras. Under the standard assumptions…
Additivity of constructible factorization algebras over manifolds with corners
Victor Carmona, Anja Švraka
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…
Upper bound for the number of limit cycles for symmetric piecewise linear differential equations with three zones
J. L. Bravo, V. Carmona, M. Fernández +1
The study of the periodic dynamics of the family of continuous observable and non-controllable three-dimensional symmetric piecewise linear systems with three zones considered here…
On the equivalence of AQFTs and prefactorization algebras
Marco Benini, Victor Carmona, Alastair Grant-Stuart +1
This paper revisits the equivalence problem between algebraic quantum field theories and prefactorization algebras defined over globally hyperbolic Lorentzian manifolds. We develop…
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…
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.
Cloning systems and action operads
Javier Aramayona, Federico Cantero Morán, Víctor Carmona +1
Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky.…