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Lefschetz formulae for Anosov flows on 3-manifolds

Published online by Cambridge University Press:  19 September 2008

Héctor Sánchez-Morgado
Héctor Sánchez-Morgado
Affiliation:
Institute de Matematicas, Universidad Nacional Autónoma de México, Ciudad Universitaria CP 04510, Mexico D.F., Mexico
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Abstract

Fried has related closed orbits of the geodesic flow of a surface S of constant negative curvature to the R-torsion for a unitary representation of the fundamental group of the unit tangent bundle T1S. In this paper we extend those results to transitive Anosov flows and 2-dimensional attractors on 3-manifolds.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 2 , June 1993 , pp. 335 - 347
Copyright
Copyright © Cambridge University Press 1993

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References

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