The Dijkgraaf-Witten invariants from second Chern classes
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_ | 1866910714759741440 |
|---|---|
| author | Nosaka, Takefumi |
| author_facet | Nosaka, Takefumi |
| contents | Given a 3-cocycle $ψ$ in the cohomology of a finite group $G$, we can define the Dijkgraaf-Witten invariant of closed 3-manifolds. In this paper, we focus on the case where $ψ$ is a 3-cocycle canonically obtained from the second Chern class of a representation of $G$, and show some procedures for computing the invariant, and clarify its topological interpretation under some conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10378 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Dijkgraaf-Witten invariants from second Chern classes Nosaka, Takefumi Geometric Topology Given a 3-cocycle $ψ$ in the cohomology of a finite group $G$, we can define the Dijkgraaf-Witten invariant of closed 3-manifolds. In this paper, we focus on the case where $ψ$ is a 3-cocycle canonically obtained from the second Chern class of a representation of $G$, and show some procedures for computing the invariant, and clarify its topological interpretation under some conditions. |
| title | The Dijkgraaf-Witten invariants from second Chern classes |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2312.10378 |