Artigo
Cellular decomposition of quaternionic spherical space forms
Fecha
2013-01-01Registro en:
Geometriae Dedicata, v. 162, n. 1, p. 9-24, 2013.
0046-5755
1572-9168
10.1007/s10711-012-9714-4
WOS:000313725500002
2-s2.0-84872600793
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Resumen
We obtain an explicit cellular decomposition of the quaternionic spherical space forms, manifolds of positive constant curvature that are factors of an odd sphere by a free orthogonal action of a generalized quaternionic group. The cellular structure gives and explicit description of the associated cellular chain complex of modules over the integral group ring of the fundamental group. As an application we compute the Whitehead torsion of these spaces for any representation of the fundamental group. © 2012 Springer Science+Business Media B.V.