Contact homology and homotopy groups of the space of contact structures

Mathematics – Symplectic Geometry

Scientific paper

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15 pages, to appear in Math. Res. Lett

Scientific paper

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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