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1995

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7764

Periods for transversal maps via Lefschetz numbers for periodic points

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Abstract

Let f: M → M be a C1 map on a C1 differentiable manifold. The map f is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the set of periods of f by using the Lefschetz numbers for periodic points. We focus our study on transversal maps defined on compact manifolds such that their rational homology is $H_0 \approx \mathbb{Q}, H_1 \approx \mathbb{Q} \oplus \mathbb{Q}$ and Hk ≈ {0} for k ≠ 0, 1.

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Anàlisi global (Matemàtica)

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Global analysis, Lefschetz Numbers

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Articles publicats en revistes (Matemàtiques i Informàtica)

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GUILLAMON, Antoni, et al. Periods for transversal maps via Lefschetz numbers for periodic points. Transactions of the American Mathematical Society. 1995. Vol. 347, num. 12, pags. 4779-4806. ISSN 1088-6850. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/7764

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