Classification of generalized Seifert fiber spaces

Fernando Galaz-Garcia; Jesús Núñez-Zimbrón

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arXiv · 2409.02216

Classification of generalized Seifert fiber spaces

Fernando Galaz-Garcia·Jesús Núñez-Zimbrón

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Abstract

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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Fernando Galaz-Garcia, Jesús Núñez-Zimbrón. 2024-09-03. Classification of generalized Seifert fiber spaces. https://arxiv.org/abs/2409.02216

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