| Texto completo | |
| Autor(es): |
Pergher, Pedro L. Q.
;
Ramos, Adriana
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. N/A, p. 9-pg., 2022-04-08. |
| Resumo | |
Consider the real, complex and quaternionic n-dimensional projective spaces, RPn, CPn and HPn to unify notation, write KdPn for the real (d = 1), complex (d = 2) and quaternionic (d = 4) n-dimensional projective space. Consider a pair (M, T), where M is a closed smooth manifold and T is a smooth involution defined on M. Write F for the fixed point set of T. In this paper we obtain the equivariant cobordism classification of the pairs (M, T) when F is of the form F = KdPm boolean OR KePn, with d < e, in the cases (m, n) = (odd, odd) and (m, n) = (odd, even). As will be seen in the history described in Sect. 1, the case F = a disjoint union of projective spaces has an intense and still unfinished history in the literature; in particular, there are several results in the literature in which F is the union of two projective spaces, but with d = e; our paper is the first to consider unions of projective spaces under different rings. For example, if d = e, in the case (m, n) = (odd, odd) all involution bounds, while for different rings there are nonbounding involutions. (AU) | |
| Processo FAPESP: | 16/24707-4 - Topologia algébrica, geométrica e diferencial |
| Beneficiário: | Daciberg Lima Gonçalves |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |