Periodic structure of the transversal maps on surfaces
In this article we study the set of periods of transversal maps on orientable and non-orientable compact surfaces without boundary. We provide sufficient conditions, in terms of the spectra of the induced maps on homology, in order that the map has infinitely many periods, in particular odd periods.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257131 |
| Acceso en línea: | https://ddd.uab.cat/record/257131 https://dx.doi.org/urn:doi:10.1007/s11784-021-00912-x |
| Access Level: | acceso abierto |
| Palabra clave: | Transversal maps Lefschetz numbers Periodic point Surfaces |
| Sumario: | In this article we study the set of periods of transversal maps on orientable and non-orientable compact surfaces without boundary. We provide sufficient conditions, in terms of the spectra of the induced maps on homology, in order that the map has infinitely many periods, in particular odd periods. |
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