广义塞弗特纤维空间的分类

arXiv - MATH - Metric Geometry Pub Date : 2024-09-03 DOI:arxiv-2409.02216

Fernando Galaz-Garcia, Jesús Núñez-Zimbrón

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摘要

我们提供了广义塞弗特纤维空间的符号分类，广义塞弗特纤维空间是三石（Mitsuishi）和山口（Yamaguchi）在亚历山大罗夫 3 美元空间的分类中引入的。此外，我们还证明了非流形广义塞弗特纤维空间的典型双支盖是塞弗特流形，并根据原空间的符号不变式计算了它的符号不变式。

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Classification of generalized Seifert fiber spaces

We provide a symbolic classification of generalized Seifert fiber spaces, which were introduced by Mitsuishi and Yamaguchi in the classification of collapsing Alexandrov $3$-spaces. Additionally, we show that the canonical double branched cover of a non-manifold generalized Seifert fiber space is a Seifert manifold and compute its symbolic invariants in terms of those of the original space.

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arXiv - MATH - Metric Geometry

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