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摘要翻译：
Guillemin,Jeffrey和Sjamaar的辛内爆构造与紧群K在辛流形X上的哈密顿作用有关。当X是复射影簇，K线性作用于X时，这种构造与K的复化G的极大幂次群U作用于X的几何不变理论(GIT)密切相关。本文的目的是推广辛内爆，给出线性作用于射影簇X的复还原群G的任意抛物子群P的幂次根U关于类GIT商的辛构造。
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英文标题：
《Symplectic implosion and non-reductive quotients》
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作者：
Frances Kirwan
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics 数学
二级分类：Symplectic Geometry 辛几何
分类描述：Hamiltonian systems, symplectic flows, classical integrable systems
哈密顿系统，辛流，经典可积系统
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英文摘要：
The symplectic implosion construction of Guillemin, Jeffrey and Sjamaar associates to a Hamiltonian action of a compact group K on a symplectic manifold X its 'imploded cross section'. When X is a complex projective variety and K acts linearly on X, this construction is closely related to geometric invariant theory (GIT) for the action on X of a maximal unipotent subgroup U of the complexification G of K. The aim of this paper is to generalise symplectic implosion to give a symplectic construction for GIT-like quotients by unipotent radicals U of arbitrary parabolic subgroups P of the complex reductive group G acting linearly on the projective variety X.
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PDF链接：
https://arxiv.org/pdf/0812.2782
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