Dynamical systems and the homology norm of a 3-manifold. II

DOI10.1007/BF01231890zbMath0758.58027MaRDI QIDQ1187486

Lee Mosher

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143966

zbMATH Keywords

3-manifoldsflowsfoliationslaminationsAnosov flowhomology norm

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Dynamics induced by flows and semiflows (37C10) General geometric structures on low-dimensional manifolds (57M50) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds ⋮ A Survey of the Thurston Norm ⋮ Quasigeodesic pseudo-Anosov flows in hyperbolic 3-manifolds and connections with large scale geometry ⋮ Universal circles for quasigeodesic flows ⋮ Regulating flows, topology of foliations and rigidity ⋮ Pseudo-Anosov flows in toroidal manifolds ⋮ Classification and rigidity of totally periodic pseudo-Anosov flows in graph manifolds ⋮ Dynamics on free-by-cyclic groups ⋮ Ideal boundaries of pseudo-Anosov flows and uniform convergence groups with connections and applications to large scale geometry ⋮ Flows, growth rates, and the veering polynomial ⋮ Collapsed Anosov flows and self orbit equivalences ⋮ A polynomial invariant for veering triangulations ⋮ Partial hyperbolicity and pseudo-Anosov dynamics ⋮ Incompressibility of tori transverse to Axiom A flows ⋮ Dynamical systems and the homology norm of a 3-manifold. I: Efficient intersection of surfaces and flows ⋮ The deficiency of a cohomology class ⋮ Free Seifert pieces of pseudo-Anosov flows ⋮ Local and global properties of limit sets of foliations of quasigeodesic Anosov flows ⋮ Incompressible surfaces and pseudo-Anosov flows ⋮ Foliations with good geometry

Cites Work

• The geometry of cross sections to flows
• Flow equivalence, hyperbolic systems and a new zeta function for flows
• Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3- manifolds
• Asymptotic properties of depth one foliations in hyperbolic 3-manifolds
• Markov splitting for U-flows in three-dimensional manifolds
• Asymptotic cycles
• One-dimensional hyperbolic sets for flows
• Equivariant spectral decomposition for flows with a ℤ-action
• On the geometry and dynamics of diffeomorphisms of surfaces
• Foliations and the topology of 3-manifolds