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Reidemeister torsion and Morse–Smale flows

Published online by Cambridge University Press:  19 September 2008

Héctor Sánchez-Morgado
Héctor Sánchez-Morgado
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria C.P. 04510, México D.F., México
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Abstract

For several types of stable flows φ and representations ρ of the fundamental group of the underlying manifold, R-torsion for ρ can be computed from the periodic orbits of φ. However, there are counterexamples and the purpose of this paper is to describe the role of heteroclinic orbits in such counterexamples.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 2 , April 1996 , pp. 405 - 414
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

[1]Conley, C.. Isolated invariant sets and the Morse index. Conf. Series in Math. 38 (1978).Google Scholar
[2]Floer, A.. Witten's complex and infinite dimensional Morse Theory. J. Diff. Geom. 30 (1989), 207–221.Google Scholar
[3]Franks, J.. Morse-Smale flows and homotopy theory. Topology 18 (1979), 196–215.CrossRefGoogle Scholar
[4]Fried, D.. Counting Circles. Springer Lecture Notes in Mathematics 1342 (1988), 196–215.Google Scholar
[5]Fried, D.. R-torsion for nonunitary representations. Unpublished notes.Google Scholar
[6]Wilson, W.. Smoothing derivatives of functions and applications. Trans. Amer. Math. Soc. 139 (1969), 413–428.CrossRefGoogle Scholar