Results 61 to 70 of about 960 (143)

Symplectic embedding of thin discs into a ball [PDF]

open access: yes, 1995
summary:We perform symplectic embeddings of ‘thin’ discs into a small ball in arbitrary dimension, using the symplectic folding ...
Lisa Traynor, Nishinou, Takeo
core   +1 more source

Superheavy Lagrangian immersions in surfaces

open access: yes, 2019
We show that the union of some circles in a closed Riemannian surface with positive genus is superheavy in the sense of Entov-Polterovich. By a result of Entov and Polterovich, this implies that the product of this union and the Clifford torus of CPn ...
Morimichi Kawasaki
core   +1 more source

Embedding problems in symplectic geometry

open access: yes, 2005
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things
Schlenk, Felix
core  

Projective structure, $\widetilde{\operatorname{SL}}(3,\mathbb{R})$ and the symplectic Dirac operator

open access: yes, 2016
summary:Inspired by the results on symmetries of the symplectic Dirac operator, we realize symplectic spinor fields and the symplectic Dirac operator in the framework of (the double cover of) homogeneous projective structure in two real dimensions.
Křižka, Libor   +2 more
core   +1 more source

The group of Hamiltonian homeomorphisms and C(0)-symplectic topology

open access: yes, 2019
The main purpose of this paper is to carry out some of the foundational study of C-0-Hamiltonian geometry and C-0-symplectic topology. We introduce the notion of Hamiltonian topology on the space of Hamiltonian paths and on the group of Hamiltonian ...
Muller, S, Oh, YG
core  

The symplectic ideal and a double centraliser theorem

open access: yes, 2007
Let G be a reductive connected linear algebraic group over an algebraically closed field of positive characteristic and let g be its Lie algebra. First we correct and generalise a well-known result about the Picard group of G.
Tange, Rudolf
core  

Deformations of log-symplectic structures

open access: yes, 2014
We describe the space of Poisson bivectors near a log-symplectic structure up to small ...
Sub Algebra,Geometry&Mathem. Logic begr.   +4 more
core   +1 more source

Moduli Space Techniques in Algebraic Geometry and Symplectic Geometry

open access: yes, 2012
The following is my M.Sc. thesis on moduli space techniques in algebraic and symplectic geometry. It is divided into the following two parts: the rst part is devoted to presenting moduli problems in algebraic geometry using a modern perspective, via ...
Luk, Kevin
core   +1 more source

Computations in symplectic geometry

open access: yes, 2016
Symplectic manifolds are a generalization of the notion of phase space in classical mechanics. Their study has received a lot of attention in recent years, and they relate to many other areas in mathematics, including dynamics, algebraic geometry and ...
Diogo, Luis
core  

Footnotes to the birational geometry of primitive symplectic varieties

open access: yes, 2023
In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.Comment: Final version. To appear in "Perspectives on four decades. Algebraic Geometry 1980 - 2020.
Mongardi, Giovanni   +2 more
core  

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