Periods for Transversal Maps Via Lefschetz Numbers for Periodic Points

DOI10.2307/2155063zbMath0846.58045OpenAlexW4251650767MaRDI QIDQ4875812

Jaume Llibre, Xavier Jarque, Antoni Guillamon, Joaquim Ortega-Cerdà, Joan Torregrosa

Publication date: 26 September 1996

Full work available at URL: https://doi.org/10.2307/2155063

zbMATH Keywords

periodic pointsrational homologyLefschetz numberstransversal maps

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Other homology theories in algebraic topology (55N35)

Related Items (14)

Cyclotomic polynomials and minimal sets of Lefschetz periods ⋮ Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\) ⋮ General form of fixed point indices of an iteratedC¹map and infiniteness of minimal periods ⋮ On the Lefschetz zeta function for a class of toral maps ⋮ Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ Algebraic periods of self-maps of a rational exterior space of rank 2 ⋮ A Note on the Set of Periods of Transversal Homological Sphere Self-maps ⋮ A note on the periodic structure of transversal maps on the torus and products of spheres ⋮ LOW-DIMENSIONAL COMBINATORIAL DYNAMICS ⋮ MINIMUM NUMBER OF FIXED POINTS FOR MAPS OF THE FIGURE EIGHT SPACE ⋮ Periodic structure of transversal maps on sum-free products of spheres ⋮ Periodic structure of the transversal maps on surfaces ⋮ Periodic points of holomorphic maps via Lefschetz numbers

Cites Work

• Fixed point indices of iterated maps
• Periods and Lefschetz zeta functions
• Period Doubling and the Lefschetz Formula
• The number of periodic points of smooth maps
• THE DIOPHANTINE EQUATION x⁴−Dy²=1
• Some Smooth Maps with Infinitely Many Hyperbolic Peridoic Points
• Periodic orbits of transversal maps
• Eight Diophantine Equations
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