Contact homology and homotopy groups of the space of contact structures

Frédéric Bourgeois (1)

1 ULB - Département de Mathématique [Bruxelles]

Using contact homology, we reobtain some recent results of Geiges and Gonzalo about the fundamental group of the space of contact structures on some 3-manifolds. We show that our techniques can be used to study higher dimensional contact manifolds and higher order homotopy groups.

Domaines: Géométrie symplectique [math.SG]; Topologie géométrique [math.GT]

Frédéric Bourgeois. Contact homology and homotopy groups of the space of contact structures. Mathematical Research Letters, 2006, 13 (1), pp.71-85. ⟨10.4310/MRL.2006.v13.n1.a6⟩. ⟨hal-01011005⟩