Presentación | Participantes | Bibliografía (DML-E) | Bibliografía adicional | Enlaces de interés | Otros proyectos DML | Ayuda
INICIO |
27 de julio de 2024
On equivariant deformations of maps.
| Título inglés | On equivariant deformations of maps. |
|---|---|
| Título español | Sobre la deformación equivariante de aplicaciones. |
| Autor/es | Vidal, Antonio |
| Organización | Inst. Estud. Catalanes, Barcelona, España |
| Revista | 0214-1493 |
| Publicación | 1988, 32 (1): 115-121, 12 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed point free map if and only if the usual Lefschetz number L(f|(X,A)) = 0. As a consequence we obtain a sepcial case of a theorem of Wilczynski (cf. [12, Theorem A]). Finally, motivated by Wilczynski's paper we present an interesting question concerning the equivalent version of the converse of the Lefschetz fixed point theorem. |
| Clasificación UNESCO | 121003 |
| Palabras clave español | Grupos de transformación ; Deformación equivariante ; Número de Lefschetz |
| Código MathReviews | MR0939775 |
 Acceso al artículo completo |
|