Fixed-point theory for homogeneous spaces

American Journal of Mathematics

Volumn 120, Issue 1, 1998, Pages 23-42

  Wong, Peter ^a  

^a BATES COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012729499     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1998.0008     Document Type: Article

References (31)

1. D. Anosov, The Nielsen number of maps of nilmanifoids, Russian Math. Surveys 40 (1985), 149-150.
2. R. Brooks, Certain subgroups of the fundamental group and the number of roots of f(x) = a, Amer. J. Math. 95 (1973), 720-728.
3. R. Brooks and P. Wong, On changing fixed points and coincidences to roots, Proc. Amer. Math. Soc. 115 (1992), 527-533.
4. W. Browder, Torsion in H-spaces, Ann. of Math. 74 (1961), 24-51.
5. R. F. Brown, The Nielsen number of a fibre map, Ann. of Math. 85 (1967), 483-493.
6. _, Divisible H-spaces. Proc. Amer. Math. Soc. 26 (1970), 185-189.
7. _, The Lefschetz Fixed Point Theorem, Scott Foresman, Illinois, 1971.
8. L. Charlap, Bieberbach Groups and Flat Manifolds, Springer-Verlag, New York, 1986.
9. A. Dold, Lectures on Algebraic Topology 2nd ed., Springer-Verlag, New York, 1980.
10. H. Duan, The Lefschetz number of selfmaps of Lie groups Proc. Amer. Math. Soc. 104 (1988), 1284-1286.
11. E. Fadell, Two vignettes in fixed point theory, Topological Fixed Point Theory and Applications (Proceedings, Tianjin 1988) (B. Jiang, ed.), Lecture Notes in Math., vol. 1411, Springer-Verlag, New York, 1989, pp. 46-51.
12. E. Fadell, Two vignettes in fixed point theory, Topological Fixed Point Theory and Applications (Proceedings, Tianjin 1988) (B. Jiang, ed.), Lecture Notes in Math., vol. 1411, Springer-Verlag, New York, 1989, pp. 46-51.
13. E. Fadell and S. Husseini, Fixed point theory for non-simply connected manifolds. Topology 20 (1981), 53-92.
14. A. Fel'shtyn and R. Hill, The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion, K-Theory 8 (1994), 367-393.
15. R. Geoghegan and A. Nicas, Parametrized Lefschetz-Nielsen fixed point theory and Hochschild homology traces, Amer. J. Math. 116 (1994), 397-446.
16. E. Hart, Computation of the local generalized H-Lefschetz number, Topology Appl. 61 (1995), 115-135.
17. B. Jiang, Estimation of the Nielsen numbers, Acta Math. Sinica 14 (1964), 304-312.
18. _, Lectures on Nielsen Fixed Point Theory, Contemp. Math., vol. 14, Amer. Math. Soc., Providence, RI, 1983.
19. _, Fixed points and braids, Invent. Math. 75 (1984), 69-74.
20. K. Kawakubo, The Theory of Transformation Groups, Oxford University Press, New York, 1991.
21. M. Kelly, Computing Nielsen numbers of surface homeomorphisms, Topology 35 (1996), 13-25.
22. T. Kiang, The Theory of Fixed Point Classes, Springer-Verlag, Science Press, New York, Beijing, 1989.
23. C. McCord, Nielsen numbers and Lefschetz numbers on solvmanifolds, Pacific J. Math. 147 (1991), 153-164 .
24. _, Computing Nielsen numbers, Nielsen Theory and Dynamical Systems (Proceedings, Mt. Holyoke 1992) (C. McCord, ed.), Contemp. Math., vol. 152, Amer. Math. Soc., Providence, RI, 1993, pp. 249-267.
25. _, Computing Nielsen numbers, Nielsen Theory and Dynamical Systems (Proceedings, Mt. Holyoke 1992) (C. McCord, ed.), Contemp. Math., vol. 152, Amer. Math. Soc., Providence, RI, 1993, pp. 249-267.
26. n without fixed points. Amer. J. Math. 79 (1957), 623-630.
27. B. Norton-Odenthal, A product formula for the generalized Lefschetz number, Ph.D. thesis, University of Wisconsin, Madison, 1991.
28. N. Steenrod, The Topology of Fibre Bundles, Princeton University Press, Princeton, New Jersey, 1951.
29. J. Vick, Homology Theory, 2nd ed., Springer-Verlag, New York, 1994.
30. J. Wagner, An algorithm for calculating the Nielsen number on surfaces with boundary, preprint, 1995.
31. G. Whitehead, Elements of Homotopy Theory, Springer-Verlag, New York, 1978.