Symplectic neighborhood of crossing divisors

Symplectic neighborhood of crossing divisors
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交叉约数的辛邻域

DOI:
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发表时间:
2016
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影响因子:
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通讯作者:
R. Guadagni
R. Guadagni
中科院分区:
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文献类型:
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作者:
R. Guadagni

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本文证明了在一组光滑的、正交相交的辛子流形附近存在标准辛坐标。它是标准辛邻域定理的推广。此外,在紧致李群$G$作用于辛时,可以选择坐标是$G$等变的。
This paper presents a proof of the existence of standard symplectic coordinates near a set of smooth, orthogonally intersecting symplectic submanifolds. It is a generalization of the standard symplectic neighborhood theorem. Moreover, in the presence of a compact Lie group $G$ acting symplectically, the coordinates can be chosen to be $G$-equivariant.