The Gysin sequence for ${\mathbb S}^3$-actions on manifolds.

José Ignacio Royo Prieto (1) , Martintxo Saralegi-Aranguren (2)

1 Departamento de Matemática Aplicada
2 LML - Laboratoire de Mathématiques de Lens

We construct a Gysin sequence associated to any smooth ${\mathbb S}^3$-action on a smooth manifold.

Mots clés: compact Lie group actions; de Rham cohomology

Domaines: Géométrie algébrique [math.AG]; Topologie algébrique [math.AT]

José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren. The Gysin sequence for ${\mathbb S}^3$-actions on manifolds.. 2010. ⟨hal-00443656v2⟩