Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909693201350656 |
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| author | Farb, Benson Looijenga, Eduard |
| author_facet | Farb, Benson Looijenga, Eduard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13139 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces Farb, Benson Looijenga, Eduard Dynamical Systems Algebraic Geometry Geometric Topology 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. |
| title | Entropy-minimizing diffeomorphisms of pseudo-Anosov type on K3 surfaces |
| topic | Dynamical Systems Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2507.13139 |