三维小封面和链接

arXiv - MATH - Geometric Topology Pub Date : 2024-08-22 DOI:arxiv-2408.12557

Vladimir Gorchakov

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引用次数: 0

摘要

我们研究了三维小盖上的某些保向卷积。我们证明，一个可定向的三维小盖的商空间通过这样一个属于2-torus的卷积是同构于$S^2 \times S^1$ 的副本的连通和的。如果这个商空间是一个 3 球体，那么相应的小封面就是 3 球体沿着一个链路的二折枝封面。我们提供了这个链接在多面体和特征函数方面的描述。

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Three-Dimensional Small Covers and Links

We study certain orientation-preserving involutions on three-dimensional small covers. We prove that the quotient space of an orientable three-dimensional small cover by such an involution belonging to the 2-torus is homeomorphic to a connected sum of copies of $S^2 \times S^1$. If this quotient space is a 3-sphere, then the corresponding small cover is a two-fold branched covering of the 3-sphere along a link. We provide a description of this link in terms of the polytope and the characteristic function.

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arXiv - MATH - Geometric Topology

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