Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces
Dynamical Systems
2025-07-18 v1 Algebraic Geometry
Geometric Topology
Abstract
We construct diffeomorphisms of ``pseudo-Anosov type'' on K3 surfaces M. In particular we obtain infinitely many examples of such diffeomorphisms that minimize entropy in their homotopy class, and for which neither the diffeomorphism nor any diffeomorphism homotopic to it preserves any complex structure on M.
Cite
@article{arxiv.2507.13139,
title = {Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces},
author = {Benson Farb and Eduard Looijenga},
journal= {arXiv preprint arXiv:2507.13139},
year = {2025}
}
Comments
16 pages, 4 figures