Intersection cohomology of S^1-actions
Hector, Gilbert ; Saralegi-Aranguren, Martintxo
HAL, hal-00440356 / Harvested from HAL
In this work we shall consider smooth action of S^1 on a manifold M. We exhibit a Gysin sequence relating the cohomology of M with the intersection cohomology of the orbit space M/S^1. This generalizes the usual Gysin sequence associated with a free action of S^1. We also study the vanishiing of the assocaied Euler class.
Publié le : 1993-07-05
Classification:  Suite de Gysin,  cohomology d'intersection,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00440356,
     author = {Hector, Gilbert and Saralegi-Aranguren, Martintxo},
     title = {Intersection cohomology of S^1-actions},
     journal = {HAL},
     volume = {1993},
     number = {0},
     year = {1993},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00440356}
}
Hector, Gilbert; Saralegi-Aranguren, Martintxo. Intersection cohomology of S^1-actions. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-00440356/