Contact homology and homotopy groups of the space of contact structures

2004/07/30 by Frédéric Bourgeois, Bourgeois, Frédéric
Mathematics · #53D35 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0407531

15 pages, to appear in Math. Res. Lett

arxiv created 2005/07/21 · arxiv updated 2009/12/01

Abstract

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.

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