Hernández Corbato, LuisRomero Ruiz del Portal, Francisco2023-06-182023-06-182015-071078-094710.3934/dcds.2015.35.2979https://hdl.handle.net/20.500.14352/23000We 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.engjournal articlehttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10784http://www.aimsciences.org/restricted access51Fixed point indexConley indexisolating blockssurface homeomorphismsLefschetz zeta functionMatemáticas (Matemáticas)12 Matemáticas