搜索结果: 46-60 共查到“数学 symplectic”相关记录96条 . 查询时间(0.078 秒)
Conley Conjecture for Negative Monotone Symplectic Manifolds
Conley Conjecture Negative Monotone Symplectic Manifolds
2010/11/24
We prove the Conley conjecture for negative monotone, closed symplectic manifolds, i.e., the existence of infinitely many periodic orbits for Hamiltonian diffeomorphisms of such manifolds.
We give a full set of Casimir operators for the symplectic group of arbitrary genus in terms of a basis chosen such that the action on representations of known $K$-type becomes transparent. We give ex...
Symplectic reflection algebras and affine Lie algebras
Symplectic reflection algebras affine Lie algebras
2010/11/23
The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products c...
We establish the relation between two objects: an integrable system related to Painleve II equation, and the symplectic invariants of a certain plane curve \Sigma_{TW} describing the average eigenvalu...
Simple examples of distinct Liouville-type symplectic structures
distinct Liouville-type symplectic structures math
2010/11/11
We discuss some examples of open manifolds which admit non-isomorphic symplectic structures of Liouville type
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
Holomorphic Curves Symplectic Contact Geometry
2010/11/12
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
Dirac method symplectic submanifolds cotangent bundle factorizable Lie group
2010/11/18
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these...
On the relation of symplectic algebraic cobordism to hermitian K-theory
symplectic algebraic cobordism hermitian K-theory
2010/11/9
We reconstruct hermitian K-theory via algebraic symplectic cobordism. In the motivic stable homotopy category SH(S) there is a unique morphism g : MSp -> BO of commutative ring T- spectra which sends...
The growth rate of symplectic homology and affine varieties
The growth rate symplectic homology affine varieties
2010/11/18
We will show that the cotangent bundle of an integrally hyperbolic manifold is not symplectomorphic to any smooth affine variety. We will also show that the unit cotangent bundle of such a manifold is...
Cohomology and Hodge Theory on Symplectic Manifolds: II
Cohomology Hodge Theory Symplectic Manifolds: II
2010/11/11
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...
We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E1 page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this ...
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
topological entropy Anosov symplectic diffeomorphisms
2010/11/17
We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic ...
Poisson smooth structures on stratified symplectic spaces
Poisson smooth structures stratified symplectic spaces
2010/11/9
In this note we introduce the notion of a Poisson smooth structure on a symplectic stratified space. We show that under a mild condition many properties of a symplectic manifold can be extended to a ...
Classification of non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice
K3 surface non-symplectic automorphism
2010/12/10
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry
Mass generation mechanism spin 1/2 fermions symplectic gauge symmetry
2010/12/8
n the StandardModel of electroweak interactions the fundamental fermions acquire masses by the Yukawa interaction with the (spin 0) Higgs field. In our model spin 1/2 fermions acquire masses by an int...