Abstract
The goal of this paper is to show what information on the set of periodic points of a homeomorphism on a closed surface can be obtained using the action of this homeomorphism on the homological groups of the closed surface.
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Acknowledgments
The first author of this work was partially supported by MICINN/FEDER grant number MTM2011–22587, Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222. The second author was partially supported by a MINECO grant MTM2013-40998-P, an AGAUR grant number 2014SGR-568, and the grants FP7-PEOPLE-2012-IRSES 318999 and 316338. The third author was partially supported by Fundación Séneca de la Región de Murcia grant number 12001/PI/09.
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Guirao, J.L.G., Llibre, J. (2016). Periods of Homeomorphisms on Closed Surfaces. In: Alsedà i Soler, L., Cushing, J., Elaydi, S., Pinto, A. (eds) Difference Equations, Discrete Dynamical Systems and Applications. ICDEA 2012. Springer Proceedings in Mathematics & Statistics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52927-0_13
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DOI: https://doi.org/10.1007/978-3-662-52927-0_13
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