In this work we shall consider smooth semifree (i.e., free outside the fixed point set) actions of S^3 on a manifold M. We exhibit a Gysin sequence relating the cohomology of M with the intersection cohomology of the orbit space M/S^3. This generalizes the usual Gysin sequence associated with a free action of S^3..
Publié le : 1993-07-05
Classification:
Suite de Gysin,
cohomology d'intersection,
55N33;57S15,
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00439224,
author = {Saralegi-Aranguren, M.},
title = {A Gysin sequence for a semifree action of S^3},
journal = {HAL},
volume = {1993},
number = {0},
year = {1993},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00439224}
}
Saralegi-Aranguren, M. A Gysin sequence for a semifree action of S^3. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-00439224/