Periodic structure of transversal maps on CP^n, HP^n and S^p S^q

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Title:	Periodic structure of transversal maps on CP^n, HP^n and S^p S^q
Author:	Guirao, Juan Luis Garcia; Llibre, Jaume
Abstract:	Agraïments: Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222
Abstract:	A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of fm. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp × Sq be the product space of the p-dimensional with the q-dimensional spheres, p 6= q. Then for the cases M equal to CPn, HPn and Sp × Sq we study the set of periods of f by using the Lefschetz numbers for periodic points.
Subject(s):	-Periodic point -Period -Transversal map -Lefschetz zeta function -Lefschetz number -Lefschetz number for periodic point -Sphere -Complex projective space -Quaternion projective space
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150655