A Signed Version of Putnam’s Homology Theory: Lefschetz and Zeta Functions
A signed version of Putnam homology for Smale spaces is introduced. Its definition, basic properties and associated Lefschetz theorem are outlined. In particular, zeta functions associated to an Axiom A diffeomorphism are compared.
Unable to display preview. Download preview PDF.
I thank Magnus Goffeng, Ian Putnam and Robert Yuncken for discussions. In addition, I thank Magnus for encouraging me to publish these results. I also thank the referee for a number of useful suggestions.
- 5.Franks, J.: Homology Theory and Dynamical Systems. CBMS Regional Conference Series in Mathematics, vol. 49, viii+120 pp. American Mathematical Society, Providence, RI (1982)Google Scholar
- 7.Putnam, I.F.: A homology theory for Smale spaces. Mem. Am. Math. Soc. 232(1094), viii+122 pp. (2014)Google Scholar
- 8.Ruelle, D.: Thermodynamic Formalism. Encyclopedia of Mathematics and Its Applications, vol. 5, xix+183 pp. Addison-Wesley, Reading, MA (1978)Google Scholar