Minimal surface maps, fixed point indices and a Jiang-Guo type inequality

• Autorzy: Michael R. Kelly
• Języki publikacji: EN

Słowa kluczowe

EN

surface; minimal map; fixed point index

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 49
• Numer: 1
• Strony: 227-233

Daty

wydano

1999

Twórcy

autor

Michael R. Kelly

• Department of Mathematics and Computer Science, Loyola University, New Orleans, LA 70118, U.S.A.

Bibliografia

• [Bo] P. Boyland, Topological methods in surface dynamics, Topology Appl. 58 (1994), 223-298.
• [Br] R. F. Brown, The Lefschetz Fixed Point Theorem, Scott-Foresman, Chicago, 1971.
• [CB] A. Casson and S. Bleiler, Automorphisms of Surfaces after Nielsen and Thurston, London Math. Soc. Stud. Texts 9, Cambridge University Press, Cambridge, 1988.
• [FLP] A. Fathi, F. Laudenbach and V. Poénaru, Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979).
• [HP] J. Harer and R. Penner, The Combinatorics of Train Tracks, Ann. of Math. Stud. 125, Princeton Univ. Press, 1992.
• [J] B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, RI, 1983.
• [JG] B. Jiang and J. Guo, Fixed points of surface diffeomorphisms, Pacific J. Math. 160 (1993), 67-89.
• [KH] A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia Math. Appl. 54, Cambridge Univ. Press, Cambridge, 1995.
• [K1] M. R. Kelly, Minimizing the number of fixed points for self-maps of compact surfaces, Pacific J. Math. 126 (1987), 81-123.
• [K2] M. R. Kelly, Minimizing the cardinality of the fixed point set for selfmaps of surfaces with boundary, Michigan Math. J. 39 (1992), 201-217.
• [K3] M. R. Kelly, A bound on the fixed point index for surface mappings, to appear in Ergodic Theory Dynam. Systems.
• [M] C. K. McCord, Computing Nielsen numbers, in: Contemp. Math. 152, Amer. Math. Soc., 1993, 249-267.
• [T] W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-431.
• [W] J. Wagner, An algorithm for calculating the Nielsen number on surfaces with boundary, preprint, UCLA, 1995.