搜索结果: 1-7 共查到“数学 symplectic manifolds”相关记录7条 . 查询时间(0.11 秒)
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.
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.
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...
A Note on the Geography of Symplectic Manifolds。
A topological structure is introduced that seems likely to provide a complete topological characterization of compact symplectic manifolds. The article begins with a leisurely introduction to symplect...
Abelian fibred holomorphic symplectic manifolds
holomorphic symplectic manifold abelian varieties elliptic fibration
2010/3/1
We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomor...
Random almost holomorphic sections of ample line bundles on symplectic manifolds
holomorphic sections line bundles on symplectic manifolds
2010/10/29
The spaces $H^0(M, L^N)$ of holomorphic sections of the powers of an ample line bundle $L$ over a compact K\"ahler manifold $(M,\omega)$ have been generalized by Boutet de Monvel and Guillemin to spa...