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We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is $ℤ$ or $ℤ \oplus ℤ_{2}$ .

Three-manifolds having complexity at most 9.

Martelli, Bruno, Petronio, Carlo (2001)

Experimental Mathematics

Tight contact structures and taut foliations.

Honda, Ko, Kazez, William H., Matić, Gordana (2000)

Geometry & Topology

Tight contact structures on Seifert manifolds over $T^{2}$ with one singular fibre.

Ghiggini, Paolo (2005)

Algebraic & Geometric Topology

Topological geodesics and virtual rigidity.

Funar, Louis, Gadgil, Siddhartha (2001)

Algebraic & Geometric Topology

Topology of plane sections of periodic polyhedra with an application to the truncated octahedron.

De Leo, Roberto (2006)

Experimental Mathematics

Toric structures on near-symplectic 4-manifolds

David T. Gay, Margaret Symington (2009)

Journal of the European Mathematical Society

A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on the base of...

Traces, lengths, axes and commensurability

Alan W. Reid (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.

Transversal torus knots.

Etnyre, John B. (1999)

Geometry & Topology

Transverse contact structures on Seifert 3-manifolds.

Lisca, Paolo, Matić, Gordana (2004)

Algebraic & Geometric Topology

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