Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces

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.

16 pages, 4 figures