Showing math.ATShow all
2 papers · 1 filter
math.AT2026
Deformations, Derived Categories, and Multiparameter Persistence: A Theoretical Framework
Mauricio Angel
Multiparameter persistent homology has emerged as a powerful generalization of topological data analysis, capable of encoding multivariate filtrations. However, the algebraic compl…
math.AT2026
Operational Calculus on Curved Differentials: Optimal N-Complex Bounds and Persistent Homology
Mauricio Angel
We establish a canonical normal form for the iterates of a curved differential in curved differential algebras (CDA). This operator calculus clarifies the underlying algebraic stru…