A Hölder-type inequality for the Hausdorff distance between Lagrangians [0.03%]
拉格朗日量之间豪斯多夫距离的一个霍勒型不等式
Jean-Philippe Chassé,Rémi Leclercq
Jean-Philippe Chassé
We prove a Hölder-type inequality (in the spirit of Joksimović and Seyfaddini in Int Math Res Not IMRN 8:6303-6324, 2024) for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekano...
A local-to-global inequality for spectral invariants and an energy dichotomy for Floer trajectories [0.03%]
谱变分函数的局部与整体关系及Floer轨迹的能量二分性
Lev Buhovsky,Shira Tanny
Lev Buhovsky
We study a local-to-global inequality for spectral invariants of Hamiltonians whose supports have a "large enough" disjoint tubular neighborhood on semipositive symplectic manifolds. As a corollary, we deduce this inequality for disjointly ...
Periods of Morse-Smale diffeomorphisms on [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text] [0.03%]
[公式见原文], [公式见原文], [公式见原文]和[公式见原文]上的Morse-Smale微分同胚的周期分布问题
Clara Cufí-Cabré,Jaume Llibre
Clara Cufí-Cabré
We study the set of periods of the Morse-Smale diffeomorphisms on the n-dimensional sphere S n , on products of two spheres of arbitrary dimension S m × S n with m ≠ n , on the n-dimensional complex projective space C P n ...
Polytope Novikov homology [0.03%]
多面体诺维科夫同调
Alessio Pellegrini
Alessio Pellegrini
Let M be a closed manifold and A ⊆ H dR 1 ( M ) a polytope. For each a ∈ A , we define a Novikov chain complex with a multiple finiteness condition encoded by the polytope A . The resulting polytope Novikov homology generaliz...
Armando W Gutiérrez,Anders Karlsson
Armando W Gutiérrez
This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of ℓ 1 . We also point o...