Tight contact structures and taut foliations.
Honda, Ko, Kazez, William H., Matić, Gordana (2000)
Geometry & Topology
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Honda, Ko, Kazez, William H., Matić, Gordana (2000)
Geometry & Topology
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Thilo Kuessner (2011)
Open Mathematics
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We define an invariant of contact structures and foliations (on Riemannian manifolds of nonpositive sectional curvature) which is upper semi-continuous with respect to deformations and thus gives an obstruction to the topology of foliations which can be approximated by isotopies of a given contact structure.
Lisca, Paolo, Matić, Gordana (2004)
Algebraic & Geometric Topology
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Scorpan, Alexandru (2003)
Algebraic & Geometric Topology
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Calegari, Danny (2001)
Algebraic & Geometric Topology
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Gabai, David, Kazez, William H. (1998)
Geometry & Topology
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Itiro Tamura (1973)
Annales de l'institut Fourier
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In this paper we study a new structure, called a spinnable structure, on a differentiable manifold. Roughly speaking, a differentiable manifold is spinnable if it can spin around a codimension 2 submanifold, called the axis, as if the top spins. The main result is the following: let be a compact -connected -dimensional differentiable manifold , then admits a spinnable structure with axis . Making use of the codimension-one foliation on , this yields that admits...
David Gabai (1992)
Annales de l'institut Fourier
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Let be a compact oriented 3-manifold whose boundary contains a single torus and let be a taut foliation on whose restriction to has a Reeb component. The main technical result of the paper, asserts that if is obtained by Dehn filling along any curve not parallel to the Reeb component, then has a taut foliation.
Bruce L. Reinhart (1964)
Annales de l'institut Fourier
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