On Hempel pairs and Turaev--Viro invariants
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910312985264128 |
|---|---|
| author | Liu, Yi |
| author_facet | Liu, Yi |
| contents | Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples of nontrivial Hempel pairs where the mapping tori can be distinguished by some Turaev--Viro invariants, and also examples where they cannot be distinguished by any Turaev--Viro invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14775 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Hempel pairs and Turaev--Viro invariants Liu, Yi Geometric Topology Quantum Algebra Primary 57K31, Secondary 57K16 Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples of nontrivial Hempel pairs where the mapping tori can be distinguished by some Turaev--Viro invariants, and also examples where they cannot be distinguished by any Turaev--Viro invariants. |
| title | On Hempel pairs and Turaev--Viro invariants |
| topic | Geometric Topology Quantum Algebra Primary 57K31, Secondary 57K16 |
| url | https://arxiv.org/abs/2303.14775 |