3 papers
math-ph2026
New model structures for Algebraic Quantum Field Theory
Victor Carmona
In this paper we define and compare several new Quillen model structures which present the homotopy theory of algebraic quantum field theories. In this way, we expand foundational…
math.AT2026
A model structure for locally constant factorization algebras
Victor Carmona, Ramon Flores, Fernando Muro
Several model structures related to the homotopy theory of locally constant factorization algebras are constructed. This answers a question raised by D. Calaque in his habilitation…
math.DS2025
Bounding the number of limit cycles in piecewise linear differential systems: methodology and worked examples
Victoriano Carmona, Fernando Fernández-Sánchez, Douglas D. Novaes
In 2012, Huan and Yang introduced the first piecewise linear differential system with two zones separated by a straight line having at least three limit cycles, serving as a counte…