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

Deeley, Robin J.

doi:10.1007/978-3-319-72299-3_13

Robin J. Deeley⁹

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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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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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Department of Mathematics, University of Colorado, Boulder Campus Box 395, Boulder, CO, 80309, USA
Robin J. Deeley

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Robin J. Deeley
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Correspondence to Robin J. Deeley .

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Editors and Affiliations

University of Melbourne, Melbourne, Australia
Jan de Gier
University of Western Australia, Crawley, Australia
Cheryl E. Praeger
UCLA, Los Angeles, USA
Terence Tao

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Deeley, R.J. (2018). A Signed Version of Putnam’s Homology Theory: Lefschetz and Zeta Functions. In: de Gier, J., Praeger, C., Tao, T. (eds) 2016 MATRIX Annals. MATRIX Book Series, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-72299-3_13

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DOI: https://doi.org/10.1007/978-3-319-72299-3_13
Published: 11 April 2018
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-72298-6
Online ISBN: 978-3-319-72299-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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