Nielsen zeta functions for maps on infra-nilmanifolds are rational
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation
Link
http://link.springer.com/content/pdf/10.1007/s11784-014-0165-4.pdf
Reference18 articles.
1. D. Anosov, The Nielsen numbers of maps of nilmanifolds. Uspekhi. Mat. Nauk 40 (1985), 133–134 (in Russian); English transl.: Russian Math. Surveys 40 (1985), 149–150.
2. R. F. Brown, The Lefschetz Fixed Point Theorem. Scott, Foresman and Co., Glenview, Ill., 1971.
3. Dekimpe K., De Rock B., Malfait W.: The Anosov theorem for flat generalized Hantzsche-Wendt manifolds. J. Geom. Phys. 52, 174–185 (2004)
4. Dekimpe K., De Rock B., Malfait W.: The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds. Monatsh. Math. 150, 1–10 (2007)
5. Dekimpe K., De Rock B., Penninckx P.: Anosov theorem for infranilmanifolds with a 2-perfect holonomy group. Asian J. Math. 15, 539–548 (2011)
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