Minimal surface maps, fixed point indices and a Jiang-Guo type inequality
Kelly, Michael
Banach Center Publications, Tome 50 (1999), p. 227-233 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:208963 
@article{bwmeta1.element.bwnjournal-article-bcpv49i1p227bwm,
     author = {Kelly, Michael},
     title = {Minimal surface maps, fixed point indices and a Jiang-Guo type inequality},
     journal = {Banach Center Publications},
     volume = {50},
     year = {1999},
     pages = {227-233},
     zbl = {0959.55003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv49i1p227bwm}
}

Kelly, Michael. Minimal surface maps, fixed point indices and a Jiang-Guo type inequality. Banach Center Publications, Tome 50 (1999) pp. 227-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv49i1p227bwm/

[000] [Bo] P. Boyland, Topological methods in surface dynamics, Topology Appl. 58 (1994), 223-298. | Zbl 0810.54031

[001] [Br] R. F. Brown, The Lefschetz Fixed Point Theorem, Scott-Foresman, Chicago, 1971.

[002] [CB] A. Casson and S. Bleiler, Automorphisms of Surfaces after Nielsen and Thurston, London Math. Soc. Stud. Texts 9, Cambridge University Press, Cambridge, 1988. | Zbl 0649.57008

[003] [FLP] A. Fathi, F. Laudenbach and V. Poénaru, Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979).

[004] [HP] J. Harer and R. Penner, The Combinatorics of Train Tracks, Ann. of Math. Stud. 125, Princeton Univ. Press, 1992. | Zbl 0765.57001

[005] [J] B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, RI, 1983. | Zbl 0512.55003

[006] [JG] B. Jiang and J. Guo, Fixed points of surface diffeomorphisms, Pacific J. Math. 160 (1993), 67-89. | Zbl 0829.55001

[007] [KH] A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Encyclopedia Math. Appl. 54, Cambridge Univ. Press, Cambridge, 1995. | Zbl 0878.58020

[008] [K1] M. R. Kelly, Minimizing the number of fixed points for self-maps of compact surfaces, Pacific J. Math. 126 (1987), 81-123. | Zbl 0571.55003

[009] [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.

[010] [K3] M. R. Kelly, A bound on the fixed point index for surface mappings, to appear in Ergodic Theory Dynam. Systems.

[011] [M] C. K. McCord, Computing Nielsen numbers, in: Contemp. Math. 152, Amer. Math. Soc., 1993, 249-267. | Zbl 0806.55003

[012] [T] W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988), 417-431. | Zbl 0674.57008

[013] [W] J. Wagner, An algorithm for calculating the Nielsen number on surfaces with boundary, preprint, UCLA, 1995.