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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Symplectic fillings of lens spaces and Seifert fibered spaces
透镜空间 塞弗特纤维空间 辛填充
2023/4/27
In this talk, we apply Menke's JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to orientation-preserving di...
2017年东亚辛几何会议（East Asian symplectic conference 2017）由四川大学数学学院主办，会议时间为 2018年10月29日在四川省成都市举办。
The Seventh Advanced Seminar in Symplectic Geometry and Topological Field Theory
The Seventh Advanced Seminar Symplectic Geometry and Topological Field Theory
2017/3/28
The topics of the 7th Advanced Seminar in Symplectic Geometry and Topological Field Theory are 1) Givental's quantization formula and Teleman's classification of semisimple cohomological field theory;...
SCHUBERT POLYNOMIALS AND ARAKELOV THEORY OF SYMPLECTIC FLAG VARIETIES
SCHUBERT POLYNOMIALS ARAKELOV THEORY
2015/12/17
Let X = Sp2n/B the flag variety of the symplectic group. We
propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of t...
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE
SYMPLECTIC GEOMETRY POLYGONS 3-SPHERE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN THE 3-SPHERE.
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE
SYMPLECTIC GEOMETRY POLYGONS HYPERBOLIC 3-SPACE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
The Symplectic Geometry of Polygons in Euclidean Space
Symplectic Geometry Polygons Euclidean Space
2015/10/14
The Symplectic Geometry of Polygons in Euclidean Space.
A symplectic structure on a manifold is a closed nondegenerate exterior 2-
form. The most common type of symplectic structure arises on a complex
manifold as the imaginary part of a Hermitian metr...
Geography of symplectic 4- and 6-manifolds
Symplectic geography symplectic sums symplectic structures
2011/9/15
Abstract: The geography of minimal symplectic 4-manifolds with arbitrary fundamental group and symplectic 6-manifolds with abelian fundamental group of small rank, and with arbitrary fundamental group...
On invariants of almost symplectic connections
almost symplectic linear connection torsion quadratic invariant
2011/8/31
Abstract: We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-...
Long time existence of the symplectic mean curvature flow
symplectic mean curvature flow Long time Differential Geometry
2011/8/25
Abstract: Let $(M,\bar{g})$ be a K\"ahler surface with a constant holomorphic sectional curvature $k>0$, and $\Sigma$ an immersed symplectic surface in $M$. Suppose $\Sigma$ evolves along the mean cur...
Symplectic birational transformations of the plane
Symplectic birational transformations plane
2011/1/18
We study the group of symplectic birational transformations of the plane.
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...
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...
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 ...