Author:
Coles Solly,Sharp Richard
Abstract
AbstractConsider a transitive Anosov flow on a closed 3-manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbits in the homology of the knot complement.
Publisher
Springer Science and Business Media LLC
Reference29 articles.
1. Anantharaman, N.: Precise counting results for closed orbits of Anosov flows. Ann. Sci. École Norm. Sup. 33, 33–56 (2000)
2. Anosov, D.: Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Instit. Math. 90, Amer. Math. Soc., Providence, RI (1969)
3. Babillot, M., Ledrappier, F.: Lalley’s theorem on periodic orbits of hyperbolic flows. Ergodic Theory Dyn. Syst. 18, 17–39 (1998)
4. Bowen, R.: Symbolic dynamics for hyperbolic flows. Amer. J. Math. 95, 429–460 (1973)
5. Bowen, R., Walters, P.: Expansive one-parameter flows. J. Diff. Equations 12, 180–193 (1972)