2026-06-29T15:19:20Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1333262026-02-27T01:21:11Zcom_20.500.14352_14col_20.500.14352_15

Infinite series in cohomology: attractors and the Conley index Hernández Corbato, Luis Romero Ruiz Del Portal, Francisco Sánchez Gabites, Jaime Jorge Alexander–Spanier cohomology Attractors Conley index Fixed point index Index pairs Topología 1210.13 Dinámica Topológica 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. Ministerio de Economía y Competitividad Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2026-02-26T09:53:27Z 2026-02-26T09:53:27Z 2020 journal article AM https://hdl.handle.net/20.500.14352/133326 XXXX-XXXX 10.1007/s00209-019-02318-5 eng MTM2015-63612-P Hernández-Corbato, L., Ruiz del Portal, F. R., & Sánchez-Gabites, J. J. Infinite series in cohomology: attractors and Conley index. Mathematische Zeitschrift. 2020 May 13; 294(3): 1127-1180. open access application/pdf Springer