%0 Journal Article
%A Hernández Corbato, Luis
%A Romero Ruiz Del Portal, Francisco
%A Sánchez Gabites, Jaime Jorge
%T Infinite series in cohomology: attractors and the Conley index
%D 2020
%U https://hdl.handle.net/20.500.14352/133326
%X We study the cohomological Conley index of arbitrary isolated invariant continua for continuous maps f : U ⊆ Rd → Rd by analyzing the topological structure of their unstable manifold. We provide a simple dynamical interpretation for the first cohomological Conley index. A number of consequences are derived, including new computations of the fixed point indices of isolated invariant continua in dimensions 2 and 3. To obtain these results we develop a new method that may be of independent interest and involves the summation of power series in cohomology.
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