Periodic structure of transversal maps on CP^n, HP^n and S^p S^q
A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of fm. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp × Sq be the pr...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150655 |
| Acceso en línea: | https://ddd.uab.cat/record/150655 https://dx.doi.org/urn:doi:10.1007/s12346-013-0099-z |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic point Period Transversal map Lefschetz zeta function Lefschetz number Lefschetz number for periodic point Sphere Complex projective space Quaternion projective space |
| Sumario: | A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of fm. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp × Sq be the product space of the p-dimensional with the q-dimensional spheres, p 6= q. Then for the cases M equal to CPn, HPn and Sp × Sq we study the set of periods of f by using the Lefschetz numbers for periodic points. |
|---|