Critical set for surface diffeomorphisms revisited

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sylvain Crovisier, Enrique Ramiro Pujals
DOI: 10.48550/arxiv.2601.08208
Cited by: 0

Abstract

We propose a notion of critical set for two-dimensional surface diffeomorphisms as an intrinsically defined object designed to play a role analogous to that of critical points in one-dimensional dynamics.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems Geometric and Algebraic Topology

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 January 2026
Document type
Preprint