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.

Keywords: compact Lie group actions; de Rham cohomology

Domains: Mathematics [math]; Algebraic Geometry [math.AG]; Mathematics [math]; Algebraic Topology [math.AT]

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