Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Moreno, Agustin"'
Autor:
Moreno, Agustin, Limoge, Arthur
In arXiv:2011.06562, the first author and Otto van Koert proved a generalized version of the classical Poincar\'e-Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian b
Externí odkaz:
http://arxiv.org/abs/2408.06919
Autor:
Moreno, Agustin
In this article, we extend the methods from arXiv:2011.06568, where the five dimensional analogue of the three dimensional finite energy foliations introduced by Hofer--Wysocki--Zehnder was identified, to the case where there the underlying (IP) cont
Externí odkaz:
http://arxiv.org/abs/2311.06174
Autor:
Moreno, Agustin, Ruscelli, Francesco
We address the general problem of studying linear stability and bifurcations of periodic orbits for Hamiltonian systems of arbitrary degrees of freedom. We study the topology of the GIT sequence introduced by the first author and Urs frauenfelder, in
Externí odkaz:
http://arxiv.org/abs/2311.06167
Using methods from symplectic geometry, the second and fifth authors have provided theoretical groundwork and tools aimed at analyzing periodic orbits, their stability and their bifurcations in families, for the purpose of space mission design. The B
Externí odkaz:
http://arxiv.org/abs/2308.03391
Autor:
Moreno, Agustin, Zhou, Zhengyi
We extend the hierarchy functors of [30] for the case of strong symplectic cobordisms, via deformations with Maurer--Cartan elements. In particular, we prove that the concave boundary of a strong cobordism has finite algebraic planar torsion if the c
Externí odkaz:
http://arxiv.org/abs/2308.00370
Autor:
Frauenfelder, Urs, Moreno, Agustin
In this article, for Hamiltonian systems with two degrees of freedom, we study doubly symmetric periodic orbits, i.e. those which are symmetric with respect to two (distinct) commuting antisymplectic involutions. These are ubiquitous in several probl
Externí odkaz:
http://arxiv.org/abs/2301.01803
A smooth Anosov flow on a closed oriented three manifold $M$ gives rise to a Liouville structure on the four manifold $[-1,1]\times M$ which is not Weinstein, by a construction of Mitsumatsu and Hozoori. We call it the associated Anosov Liouville dom
Externí odkaz:
http://arxiv.org/abs/2211.07453
We show that for all $n \geq 3$, any $(2n+1)$-dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost contact class. For $n=2$, we obtain the same result, provided that th
Externí odkaz:
http://arxiv.org/abs/2211.03680
The intention of this article is to illustrate the use of methods from symplectic geometry for practical purposes. Our intended audience is scientists interested in orbits of Hamiltonian systems (e.g. the three-body problem). The main directions purs
Externí odkaz:
http://arxiv.org/abs/2206.00627
Autor:
Frauenfelder, Urs, Moreno, Agustin
We provide topological obstructions to the existence of orbit cylinders of symmetric orbits, for mechanical systems preserved by antisymplectic involutions (e.g. the restricted three-body problem). Such cylinders induce continuous paths which do not
Externí odkaz:
http://arxiv.org/abs/2109.09147