The R$_{\infty}$-property for braid groups over orientable surfaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917062016761856 |
|---|---|
| author | Dekimpe, Karel Gonçalves, Daciberg Lima Ocampo, Oscar |
| author_facet | Dekimpe, Karel Gonçalves, Daciberg Lima Ocampo, Oscar |
| contents | Let $Σ_{g,p}$ be an orientable surface of genus $g$ and of finite type without boundary (i.e. an orientable closed surface with a finite number $p$ of points removed). In this paper we study the R$_{\infty}$-property for the surface pure braid groups $P_n(Σ_{g,p})$ as well as for the full surface braid groups $B_n(Σ_{g,p})$. We show that, with few exceptions, these groups have the R$_{\infty}$-property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14824 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The R$_{\infty}$-property for braid groups over orientable surfaces Dekimpe, Karel Gonçalves, Daciberg Lima Ocampo, Oscar Geometric Topology Group Theory Primary: 20E36, Secondary: 20F36, 20E45 Let $Σ_{g,p}$ be an orientable surface of genus $g$ and of finite type without boundary (i.e. an orientable closed surface with a finite number $p$ of points removed). In this paper we study the R$_{\infty}$-property for the surface pure braid groups $P_n(Σ_{g,p})$ as well as for the full surface braid groups $B_n(Σ_{g,p})$. We show that, with few exceptions, these groups have the R$_{\infty}$-property. |
| title | The R$_{\infty}$-property for braid groups over orientable surfaces |
| topic | Geometric Topology Group Theory Primary: 20E36, Secondary: 20F36, 20E45 |
| url | https://arxiv.org/abs/2502.14824 |