Periodic structure of the transversal maps on surfaces
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Sirvent, Víctor F. (Universidad Católica del Norte. Departamento de Matemáticas (Chile))

Date:	2021
Abstract:	In this article we study the set of periods of transversal maps on orientable and non-orientable compact surfaces without boundary. We provide sufficient conditions, in terms of the spectra of the induced maps on homology, in order that the map has infinitely many periods, in particular odd periods.
Grants:	Ministerio de Economía, Industria y Competitividad MTM2016-77278-P Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Transversal maps ; Lefschetz numbers ; Periodic point ; Surfaces
Published in:	Journal of fixed point theory and applications, Vol. 23, Issue 4 (November 2021) , art. 74, ISSN 1661-7746

DOI: 10.1007/s11784-021-00912-x

Postprint 15 p, 622.7 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles