Homology of the Zeta Function for Diffeomorphisms

John M. Franks

Publications mathématiques et informatique de Rennes (1975)

  • Issue: S4, page 1-14

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Franks, John M.. "Homology of the Zeta Function for Diffeomorphisms." Publications mathématiques et informatique de Rennes (1975): 1-14. <http://eudml.org/doc/274852>.

@article{Franks1975,
author = {Franks, John M.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S4},
pages = {1-14},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Homology of the Zeta Function for Diffeomorphisms},
url = {http://eudml.org/doc/274852},
year = {1975},
}

TY - JOUR
AU - Franks, John M.
TI - Homology of the Zeta Function for Diffeomorphisms
JO - Publications mathématiques et informatique de Rennes
PY - 1975
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 14
LA - eng
UR - http://eudml.org/doc/274852
ER -

References

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  1. 1. M. Artin and B. Mazur, On Periodic Points , Annals of Math. (2) 81 (1965), 82-99. Zbl0127.13401MR176482
  2. 2. R. Bowen, Topological Entropy and Axiom A , Proc. Sympos. Pure Math.14, Amer. Math. Soc.Providence R . I. , 23-42. Zbl0207.54402MR262459
  3. 3. R. Bowen and O. Lanford, The Zeta Function of Subshifts, Proc. Sympos. Pure Math.14, Amer. Math. Soc.Providence R . I. Zbl0211.56501
  4. 4. J. Franks, Morse Inequalities for Zeta Functions, to appear in Annals of Math. Zbl0307.58016MR385929
  5. 5. J. Franks, A Reduced Zeta Function for Diffeomorphisms, to appear. Zbl0405.58037MR494304
  6. 6. J. Guckenheimer, Axiom A and no cycles imply ζ ( f ) rational. Bull. Amer. Math. Soc.76 (1970), 592-594. Zbl0196.27002MR254871
  7. 7. A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc.3 (1971), 215-220. Zbl0219.58007MR288786
  8. 8. A. Manning, There are no new Anosov Diffeomorphisms on Tori, Amer. Jour. of Math.96 (1974), 422-429. Zbl0242.58003MR358865
  9. 9. J. Milnor, Morse Theory, Annals of Math. Studies 51, Princeton Univ. Press, 1963. Zbl0108.10401MR163331
  10. 10. D. Ruelle and D. Sullivan, Currents, Flows, and Diffeomorphisms, Preprint I.H.E.S., 084, 1974. Zbl0321.58019MR415679
  11. 11. M. Shub and R.F. Williams, Entropy and stability , to appear in Topology. Zbl0329.58010MR415680
  12. 12. S. Smale, Differentiable Dynamical Systems, Bull. Amer. Math. Soc.73, . (1967), 747-817. Zbl0202.55202MR228014
  13. 13. S. Smale, The Ω- Stability Theorem, Proc. Sumpos. Pure Math., 14 (1970), 289-297. Zbl0205.54104MR271971

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