التفاصيل البيبلوغرافية
| العنوان: |
On Khovanov Homology and Related Invariants |
| المؤلفون: |
Caprau, Carmen, González, Nicolle, Lee, Christine Ruey Shan, Lowrance, Adam M., Sazdanović, Radmila, Zhang, Melissa |
| سنة النشر: |
2020 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Geometric Topology, 57M27 (Primary), 57M25 (Secondary) |
| الوصف: |
This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to $\mathfrak{sl}(n)$ homologies. We extend Levine and Zemke's ribbon concordance obstruction from Khovanov homology to $\mathfrak{sl}(n)$ homology for $n \geq 2$, including the universal $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$ homology theories. Inspired by Alishahi and Dowlin's bounds for the unknotting number coming from Khovanov homology and relying on spectral sequence arguments, we produce bounds on the alternation number of a knot. Lee and Bar-Natan spectral sequences also provide lower bounds on Turaev genus. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2002.05247 |
| رقم الانضمام: |
edsarx.2002.05247 |
| قاعدة البيانات: |
arXiv |