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R-torsion and zeta functions for analytic Anosov flows on 3-manifolds
Author(s):
Héctor
Sánchez-Morgado
Journal:
Trans. Amer. Math. Soc.
348
(1996),
963-973.
MSC (1991):
Primary 58F15, 58F20, 58G10
MathSciNet review:
1348868
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Abstract:
We improve previous results relating R-torsion, for an acyclic representation of the fundamental group, with a special value of the torsion zeta function of an analytic Anosov flow on a 3-manifold. By using the new techniques of Rugh and Fried we get rid of the unpleasent assumptions about the regularity of the invariant foliations.
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- Fried, D. Meromorphic Zeta Functions for Analytic Flows. Preprint 1993.
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Additional Information:
Héctor
Sánchez-Morgado
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria C. P. 04510, México D. F., México
Email:
hector@gauss.matem.unam.mx
DOI:
10.1090/S0002-9947-96-01611-X
PII:
S 0002-9947(96)01611-X
Keywords:
R-torsion,
zeta functions,
transitive Anosov flows
Received by editor(s):
November 18, 1994
Additional Notes:
Partially supported by DGAPA-UNAM IN-103792
Copyright of article:
Copyright
1996,
American Mathematical Society
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