تقرير
Writhe invariants of 3-regular spatial graphs
| العنوان: | Writhe invariants of 3-regular spatial graphs |
|---|---|
| المؤلفون: | Friedl, Stefan, Kalelkar, Tejas, Quintanilha, José Pedro |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology |
| الوصف: | We give a necessary condition for two diagrams of $3$-regular spatial graphs with the same underlying abstract graph $G$ to represent isotopic spatial graphs. The test works by reading off the writhes of the knot diagrams coming from a collection of cycles in $G$ in each diagram, and checking whether the writhe tuples differ by an element in the image of a certain map of $\mathbb{Z}$-modules determined by $G$. We exemplify by using our result to distinguish, for each $n \ge 3$, all elements in a certain infinite family of embeddings of the M\"obius ladder $\mathrm{M}_n$ into $\mathbb{R}^3$ . We also connect these writhe tuples to a classical invariant of spatial graphs due to Wu and Taniyama. Comment: 15 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.09649 |
| رقم الأكسشن: | edsarx.2404.09649 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |