تقرير
A categorification for the partial-dual genus polynomial
| العنوان: | A categorification for the partial-dual genus polynomial |
|---|---|
| المؤلفون: | Cheng, Zhiyun, Lei, Ziyi |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Combinatorics, 57M15, 05C10, 57K12 |
| الوصف: | The partial-dual genus polynomial $^\partial\varepsilon_G(z)$ of a ribbon graph $G$ is the generating function that enumerates all partial duals of $G$. In this paper, we give a categorification for this polynomial. The key ingredient of the construction is an extended Frobenius algebra related to unoriented topological quantum field theory. Comment: 31 pages, 13 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.03632 |
| رقم الأكسشن: | edsarx.2401.03632 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |