Computing Nielsen numbers of surface homeomorphisms

Topology

Volumn 35, Issue 1, 1996, Pages 13-25

  Kelly, Michael R ^a  

^a LOYOLA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0029691716     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/0040-9383(95)00011-9     Document Type: Article

References (13)

1. 1. M. BESTVINA and M. HANDEL: Train tracks for surface homeomorphisms, to appear in Topology.
2. 2. R. F. BROWN: The Lefschetz fixed point theorem, Scott-Foresman, Chicago, (1971).
3. 3. R. DOBRENKO and J. JEZIERSKI: The coincidence Nielsen number on non-orientable manifolds, Rocky Mountain Journal of Math. 23 (1993), 67-85.
4. 4. J. FRANKS and M. MISIUREWICZ: Cycles for disk homeomorphisms and thick trees, Contemp. Math. 152 (1993), 69-139.
5. 5. R. GEOGHEGAN and A. NICAS: Parametrized Lefschetz-Nielsen fixed point theory and Hochschild homology traces, Amer. J. Math. 116 (1994), 397-446.
6. 6. J. HARER and R. PENNER: The combinatorics of train tracks, Annals of Math. Studies, No. 125, Princeton University Press (1992).
7. 7. B. J. JIANG: Lectures on Nielsen fixed point theory, Contemporary Mathematics 14, Amer. Math. Soc., Providence, RI (1983).
8. 8. B. JIANG and J. GUO: Fixed points of surface diffeomorphisms, Pacific Journal of Math. 160 (1993), 67-89.
9. 9. M. R. KELLY: Minimizing the number of fixed points for self-maps of compact surfaces, Pacific Journal of Math. 126 (1987), 81-123.
10. 10. M. R. KELLY: Minimizing the cardinality of the fixed point set for self-maps of surfaces with boundary, Michigan Math. J. 39 (1992), 201-217.
11. 11. J. E. LOS: Pseudo-Anosov maps and invariant train tracks in the disc: a finite algorithm, Proc. London Math. Soc. 66 (1993), 400-430.
12. 12. C. K. MCCORD: Computing Nielsen numbers, Contemp. Math. 152 (1993), 249-267.
13. 13. W. P. THURSTON: On the geometry and dynamics of diffeomorphisms of surfaces, Bull. AMS 19 (1988), 417-431.