Coisotropic rigidity and -symplectic geometry
V Humilière, R Leclercq, S Seyfaddini - 2015 - projecteuclid.org
We prove that symplectic homeomorphisms, in the sense of the celebrated Gromov–
Eliashberg Theorem, preserve coisotropic submanifolds and their characteristic foliations …
Eliashberg Theorem, preserve coisotropic submanifolds and their characteristic foliations …
Relative Hofer–Zehnder capacity and positive symplectic homology
G Benedetti, J Kang - Journal of Fixed Point Theory and Applications, 2022 - Springer
We study the relationship between a homological capacity c SH+(W) for Liouville domains W
defined using positive symplectic homology and the existence of periodic orbits for …
defined using positive symplectic homology and the existence of periodic orbits for …
Riemannian distance and symplectic embeddings in cotangent bundle
F Broćić - arXiv preprint arXiv:2303.12752, 2023 - arxiv.org
Given an open neighborhood $ W $ of the zero section in the cotangent bundle of $ N $ we
define a distance-like function $\rho_W $ on $ N $ using certain symplectic embeddings …
define a distance-like function $\rho_W $ on $ N $ using certain symplectic embeddings …
On the strong Arnold chord conjecture for convex contact forms
J Kang - arXiv preprint arXiv:2304.07016, 2023 - arxiv.org
On the strong Arnold chord conjecture for convex contact forms arXiv:2304.07016v2 [math.SG]
27 Apr 2023 Page 1 On the strong Arnold chord conjecture for convex contact forms Jungsoo …
27 Apr 2023 Page 1 On the strong Arnold chord conjecture for convex contact forms Jungsoo …
Observations on the Hofer distance between closed subsets
M Usher - arXiv preprint arXiv:1409.2577, 2014 - arxiv.org
We prove the elementary but surprising fact that the Hofer distance between two closed
subsets of a symplectic manifold can be expressed in terms of the restrictions of …
subsets of a symplectic manifold can be expressed in terms of the restrictions of …
On a variant of Viterbo's conjecture
W Gong - arXiv preprint arXiv:2307.02290, 2023 - arxiv.org
We consider an analogue of Viterbo's conjecture: whether the spectral metric on the orbit
space of a fiber in the disk cotangent bundle of a closed manifold under the action of …
space of a fiber in the disk cotangent bundle of a closed manifold under the action of …
The unbounded Lagrangian spectral norm and wrapped Floer cohomology
W Gong - Journal of Geometry and Physics, 2024 - Elsevier
We investigate the question of whether the spectral metric on the orbit space of a fiber in the
disk cotangent bundle of a closed manifold, under the action of the compactly supported …
disk cotangent bundle of a closed manifold, under the action of the compactly supported …
Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings
We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a
symplectic manifold, and we construct two examples of such capacities through …
symplectic manifold, and we construct two examples of such capacities through …
Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities
In this note we study the systoles of convex hypersurfaces in R 2 n invariant under an anti-
symplectic involution. We investigate a uniform upper bound of the ratio between the systole …
symplectic involution. We investigate a uniform upper bound of the ratio between the systole …
Function theoretical applications of Lagrangian spectral invariants
M Kawasaki - arXiv preprint arXiv:1811.00527, 2018 - arxiv.org
Entov and Polterovich considered the concept of heaviness and superheaviness by the Oh-
Schwarz spectral invariants. The Oh-Schwarz spectral invariants are defined in terms of the …
Schwarz spectral invariants. The Oh-Schwarz spectral invariants are defined in terms of the …