Periods of Morse-Smale diffeomorphisms on Sn, Sm × Sn, CPn and HPn
Cufí Cabré, Clara (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2022
Abstract:	We study the set of periods of the Morse-Smale diffeomorphisms on the n-dimensional sphere Sn, on products of two spheres of arbitrary dimension Sm×Sn with m≠n, on the n-dimensional complex projective space CPn and on the n-dimensional quaternion projective space HPn. We classify the minimal sets of Lefschetz periods for such Morse-Smale diffeomorphisms. This characterization is done using the induced maps on the homology. The main tool used is the Lefschetz zeta function.
Grants:	European Commission 777911 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Agencia Estatal de Investigación PID2019-104658GB-I00
Note:	Altres ajuts: acords transformatius de la UAB
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Morse-Smale diffeomorphisms ; Periodic orbit ; Lefschetz zeta function ; Minimal Lefschetz period
Published in:	Journal of fixed point theory and applications, Vol. 24, Issue 1 (February 2022) , art. 4, ISSN 1661-7746

DOI: 10.1007/s11784-021-00918-5

Postprint 12 p, 413.8 KB

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