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Symplectic fillability of tight contact structures on torus bundles.

Ding, Fan; Geiges, Hansjörg — 2001

Algebraic & Geometric Topology

Periodic automorphisms of surfaces: Invariant circles and maximal orders.

Geiges, Hansjörg; Rattaggi, Diego — 2000

Experimental Mathematics

Contact geometry and complex surfaces.

Hansjörg Geiges; Jesús Gonzalo — 1995

Inventiones mathematicae

Contact topology and the structure of 5-manifolds with $π_{1} = ℤ_{2}$

Hansjörg Geiges; Charles B. Thomas — 1998

Annales de l'institut Fourier

We prove a structure theorem for closed, orientable 5-manifolds $M$ with fundamental group $π_{1} (M) = ℤ_{2}$ and second Stiefel-Whitney class equal to zero on $H_{2} (M)$ . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain $ℤ_{2}$ -quotients of $S^{2} \times S^{3}$ .

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