Symplectic field theory and its applications
Symplectic field theory and its applications
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辛场论及其应用
DOI：
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发表时间：
2006
期刊：
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通讯作者：
Y. Eliashberg
中科院分区：
文献类型：
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作者：
Y. Eliashberg
辛场论（SFT）试图接近全纯曲线的理论
在辛流形（也称为Gromov-Witten理论）中，
理论这自然会导致新的代数结构，似乎有有趣的应用
和联系不仅在辛几何中，而且在其他数学领域，
例如拓扑和可积偏微分方程在这次演讲中，我们勾勒出形式的代数结构，
SFT和讨论目前的一些工作，对它的应用。
Symplectic field theory (SFT) attempts to approach the theory of holomorphic curves
in symplectic manifolds (also called Gromov-Witten theory) in the spirit of a topological field
theory. This naturally leads to new algebraic structures which seems to have interesting applications
and connections not only in symplectic geometry but also in other areas of mathematics,
e.g. topology and integrable PDE. In this talk we sketch out the formal algebraic structure of
SFT and discuss some current work towards its applications.