Bar-Natan Homology for null homologous links in \mathbb{RP}^3
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929707905187840 |
|---|---|
| author | Chen, Daren |
| author_facet | Chen, Daren |
| contents | In this paper, we introduce Bar-Natan homology for null homologous links in \mathbb{RP}^3 over the field of two elements. It is a deformation of the Khovanov homology in \mathbb{RP}^3 defined by Asaeda, Przytycki and Sikora. We also define an s-invariant from this deformation using the same recipe as for links in S^3, and prove some genus bound using it. The key ingredient is the notion of twisted orientation for null homologous links and cobordisms in \mathbb{RP}^3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11461 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bar-Natan Homology for null homologous links in \mathbb{RP}^3 Chen, Daren Geometric Topology 57K18 In this paper, we introduce Bar-Natan homology for null homologous links in \mathbb{RP}^3 over the field of two elements. It is a deformation of the Khovanov homology in \mathbb{RP}^3 defined by Asaeda, Przytycki and Sikora. We also define an s-invariant from this deformation using the same recipe as for links in S^3, and prove some genus bound using it. The key ingredient is the notion of twisted orientation for null homologous links and cobordisms in \mathbb{RP}^3. |
| title | Bar-Natan Homology for null homologous links in \mathbb{RP}^3 |
| topic | Geometric Topology 57K18 |
| url | https://arxiv.org/abs/2307.11461 |