Periodic structure of the transversal maps on surfaces

Jaume Llibre; Víctor F. Sirvent

doi:10.1007/s11784-021-00912-x

Periodic structure of the transversal maps on surfaces

Jaume Llibre, Víctor F. Sirvent^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Universidad Católica del Norte

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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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.

Idioma original	Anglès
Número d’article	74
Nombre de pàgines	13
Revista	Journal of Fixed Point Theory and Applications
Volum	23
Número	4
DOIs	https://doi.org/10.1007/s11784-021-00912-x
Estat de la publicació	Publicada - de nov. 2021

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10.1007/s11784-021-00912-x

https://ddd.uab.cat/record/257131

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title = "Periodic structure of the transversal maps on surfaces",

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.",

keywords = "Lefschetz numbers, Transversal maps, periodic point, surfaces",

author = "Jaume Llibre and Sirvent, {V{\'i}ctor F.}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2021",

month = nov,

doi = "10.1007/s11784-021-00912-x",

language = "English",

volume = "23",

journal = "Journal of Fixed Point Theory and Applications",

issn = "1661-7738",

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T1 - Periodic structure of the transversal maps on surfaces

AU - Llibre, Jaume

AU - Sirvent, Víctor F.

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - Lefschetz numbers

KW - Transversal maps

KW - periodic point

KW - surfaces

UR - http://www.scopus.com/inward/record.url?scp=85119082559&partnerID=8YFLogxK

U2 - 10.1007/s11784-021-00912-x

DO - 10.1007/s11784-021-00912-x

M3 - Article

AN - SCOPUS:85119082559

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VL - 23

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 4

M1 - 74

ER -

Periodic structure of the transversal maps on surfaces

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