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A Signed Version of Putnam’s Homology Theory: Lefschetz and Zeta Functions

  • Robin J. Deeley
Chapter
Part of the MATRIX Book Series book series (MXBS, volume 1)

Abstract

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.

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Notes

Acknowledgements

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.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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