Cyclic Nielsen realization for del Pezzo surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908335897313280 |
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| author | Lee, Seraphina Eun Bi Lewis, Tudur Raman, Sidhanth |
| author_facet | Lee, Seraphina Eun Bi Lewis, Tudur Raman, Sidhanth |
| contents | The cyclic Nielsen realization problem for a closed, oriented manifold asks whether any mapping class of finite order can be represented by a homeomorphism of the same order. In this article, we resolve the smooth, metric, and complex cyclic Nielsen realization problem for certain "irreducible" mapping classes on the family of smooth 4-manifolds underlying del Pezzo surfaces. Both positive and negative examples of realizability are provided in various settings. Our techniques are varied, synthesizing results from reflection group theory and 4-manifold topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclic Nielsen realization for del Pezzo surfaces Lee, Seraphina Eun Bi Lewis, Tudur Raman, Sidhanth Geometric Topology Algebraic Geometry The cyclic Nielsen realization problem for a closed, oriented manifold asks whether any mapping class of finite order can be represented by a homeomorphism of the same order. In this article, we resolve the smooth, metric, and complex cyclic Nielsen realization problem for certain "irreducible" mapping classes on the family of smooth 4-manifolds underlying del Pezzo surfaces. Both positive and negative examples of realizability are provided in various settings. Our techniques are varied, synthesizing results from reflection group theory and 4-manifold topology. |
| title | Cyclic Nielsen realization for del Pezzo surfaces |
| topic | Geometric Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2504.17235 |