%0 Journal Article
%A Hernández Corbato, Luis
%A Romero Ruiz del Portal, Francisco
%T Fixed point indices of planar continuous maps
%D 2015
%@ 1078-0947
%U https://hdl.handle.net/20.500.14352/23000
%X We characterize the sequences of fixed point indices {i(f(n) ,p)} n >= 1 of fixed points that are isolated as an invariant set for a continuous map f in the plane. In particular, we prove that the sequence is periodic and i(f(n) ,p) <= 1 for every n >= 0. This characterization allows us to compute effectively the Lefschetz zeta functions for a wide class of continuous maps in the 2-sphere, to obtain new results of existence of infinite periodic orbits inspired on previous articles of J. Franks and to give a partial answer to a problem of M. Shub about the growth of the number of periodic orbits of degree-d maps in the 2-sphere.
%~