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On The Group of Strong Symplectic Homeomorphisms
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
C1-Genericity of symplectic diffeomorphisms and lower bounds for topological entropy
(2017-10-02)
There is a C1-residual (Baire second class) subset R of symplectic diffeomorphisms on 2d-dimensional manifold, d ≥ 1, such that for every non-Anosov f in R, its topological entropy is lower bounded by the supremum of the ...
A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms
(Cambridge University PressNew York, 2014-10)
We prove that a 'C POT.1' generic symplectic diffeomorphism is either Anosov or its topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of its periodic points. We also ...
Symplectic Lefschetz Fibrations On Adjoint Orbits
(Walter De Gruyter GMBHBerlin, 2016)
Faddeev-jackiw formalism for A topological-like oscillator in planar dimensions
(1996-12-01)
The problem of a harmonic oscillator coupling to an electromagnetic potential plus a topological-like (Chern-Simons) massive term, in two-dimensional space, is studied in the light of the symplectic formalism proposed by ...
Topological conditions in geometric and Maslov quantization
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2020)
Among the most important theories in physics is quantum mechanics which, in contrast to classical mechanics, uses topology in addition to differential geometry. Specifically, in this work, we will study the well-known ...
Analytic solutions in the gauged skyrme model and conservation laws in gauge theories with applications to black hole mechanics.
(Universidad de Concepción.Facultad de Ciencias Físicas y MatemáticasDepartamento de Física., 2021)
The present thesis consists of two parts. Part I is devoted to the construction of
the first analytic examples of topologically non-trivial solutions of the U(1) gauged
Skyrme model within a finite box in (3 + 1)-dimensional ...
Categoria de Lusternik-Schnirelmann e aplicações
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-02-14)
The Lusternik-Schnirelmann category associates a positive integer to each topological space. This number is an important invariant in algebraic topology, critical point theory and symplectic geometry. In this dissertation ...
Faddeev-jackiw formalism for A topological-like oscillator in planar dimensions
(1996-12-01)
The problem of a harmonic oscillator coupling to an electromagnetic potential plus a topological-like (Chern-Simons) massive term, in two-dimensional space, is studied in the light of the symplectic formalism proposed by ...