纤维丝带椒盐脆饼

arXiv - MATH - Geometric Topology Pub Date : 2024-08-07 DOI:arxiv-2408.03644

Ana G. Lecuona, Andy Wand

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引用次数: 0

摘要

我们对直至突变的纤维带状椒盐结进行了分类。除了莱库奥纳[Lec15]的 "例外 "家族成员之外，这个分类是完整的。这一结果是通过将晶格嵌入技术与加贝对纤维带状椒盐结的分类相结合而获得的，并展示了带状盘，其中一些盘位于标准椒盐结投影的已知模式之外。

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Fibered ribbon pretzels

We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is obtained by combining lattice embedding techniques with Gabai's classification of fibered pretzel knots, and exhibiting ribbon disks, some of which lie outside of known patterns for standard pretzel projections.

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arXiv - MATH - Geometric Topology

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