Instantons and Khovanov homology in $\mathbb{RP}^3$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912616192933888 |
|---|---|
| author | Yang, Hongjian |
| author_facet | Yang, Hongjian |
| contents | We study the instanton Floer homology for links in $\mathbb{RP}^3$ and compute the second page of Kronheimer--Mrowka's spectral sequence. As an application, we show that Khovanov homology detects the unknot and the projective unknot in $\mathbb{RP}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Instantons and Khovanov homology in $\mathbb{RP}^3$ Yang, Hongjian Geometric Topology 57K18, 57R58 We study the instanton Floer homology for links in $\mathbb{RP}^3$ and compute the second page of Kronheimer--Mrowka's spectral sequence. As an application, we show that Khovanov homology detects the unknot and the projective unknot in $\mathbb{RP}^3$. |
| title | Instantons and Khovanov homology in $\mathbb{RP}^3$ |
| topic | Geometric Topology 57K18, 57R58 |
| url | https://arxiv.org/abs/2402.15716 |