搜索结果: 31-45 共查到“数学 symplectic”相关记录96条 . 查询时间(0.015 秒)
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic Discrete Non Linear Schrö dinger equation
2011/3/2
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12] we can construct high order numerical schemes, that re...
Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Moduli of K3 Surfaces Irreducible Symplectic Manifolds
2011/2/22
The name “K3 surfaces” was coined by A. Weil in 1957 when he formulated a research programme for these surfaces and their moduli.
Quantum cohomology of the odd symplectic Grassmannian of lines
Quantum cohomology odd symplectic Grassmannian of lines
2011/2/23
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of line...
Lagrangian subbundles of symplectic bundles over a curve
Symplectic bundle over a curve Lagrangian subbundle
2011/1/19
A symplectic bundle over an algebraic curve has a natural invariant sLag determined by the maximal degree of its Lagrangian subbundles. This can be viewed as a generalization of the classical Segre in...
Symplectic homology product via Legendrian surgery
Symplectic homology product Legendrian surgery
2011/2/23
This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken in [2] where the symplectic homology, as a vector space, was expressed in terms of the Legen...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic integrators Discrete Non Linear Schrö dinger equation
2010/12/28
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12]we can construct high order numerical schemes, that res...
The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants
asymptotic expansion of Tracy-Widom GUE law symplectic invariants
2010/12/28
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
Symplectic birational transformations of the plane
Symplectic birational transformations plane
2011/1/18
We study the group of symplectic birational transformations of the plane.
Lagrangian spheres, symplectic surfaces and the symplectic mapping class group
Lagrangian spheres symplectic surfaces symplectic mapping class group
2011/2/22
Given a Lagrangian sphere in a symplectic 4-manifold (M, ω) with b+ = 1, we find embedded symplectic surfaces intersecting it minimally. When the Kodaira dimension of (M, ω) is −∞, this result t...
Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Basic Riemannian Geometry Sobolev Estimates used Symplectic Topology
2011/2/22
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace
theory that play a prominent role in analytic approaches to symplectic topology. These
include relations...
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
In this paper, we study finite symplectic actions on K3 surfaces X,i.e. actions of finite groups G on X which act on H2,0(X) trivially.We show that the action on the K3 lattice H2(X, Z) induced by a s...
We introduce a parabolic flow of almost K¨ahler structures, providing a natural extension of K¨ahler Ricci flow onto symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of...
On the ellipticity of symplectic twistor complexes
Fedosov manifolds Segal-Shale-Weil representation
2011/1/19
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection ∇) admitting a metaplectic structure, we shall investigate two sequences of first order diff...