UvA-DARE (Digital Academic Repository) Resolutions of Proper Riemannian Lie Groupoids
UvA-DARE (Digital Academic Repository) Resolutions of Proper Riemannian Lie Groupoids
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原黎曼李群形的 UvA-DARE（数字学术知识库）解析
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
K.J.L. Wang
中科院分区：
文献类型：
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作者：
H. Posthuma;X. Tang;K.J.L. Wang
。在这篇文章中，我们证明了每一个真李群胚都允许去奇异化为正则真李群胚。当具有黎曼度量时，我们证明了它在商空间之间的Gromov-Hausdorff距离内允许对正则的黎曼真李群胚进行去奇化，且任意接近于原李群胚。我们在适当的李群胚上通过一个连续的爆破构造来构造去奇化。我们还证明了我们构造的去奇异化在群胚的Morita等价下是不变的，表明它是基本的可除ff堆栈的去奇异化。
. In this paper we prove that every proper Lie groupoid admits a desingularization to a regular proper Lie groupoid. When equipped with a Riemannian metric, we show that it admits a desingularization to a regular Riemannian proper Lie groupoid, arbitrarily close to the original one in the Gromov–Hausdorff distance between the quotient spaces. We construct the desingularization via a successive blow-up construction on a proper Lie groupoid. We also prove that our construction of the desingularization is invariant under Morita equivalence of groupoids, showing that it is a desingularization of the underlying differentiable stack.
影响因子：
1
作者：
Posthuma, Hessel;Tang, Xiang;Wang, Kirsten
通讯作者：
Wang, Kirsten