Periodic elements in finite type Artin-Tits groups and stability conditions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908479586828288 |
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| author | Heng, Edmund Licata, Anthony M. Yacobi, Oded |
| author_facet | Heng, Edmund Licata, Anthony M. Yacobi, Oded |
| contents | Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action on the corresponding 2-Calabi--Yau category and on its space of (fusion equivariant) Bridgeland stability conditions. The main theorem is that an element $β$ is periodic if and only if $β$ has a fixed point in the stability manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodic elements in finite type Artin-Tits groups and stability conditions Heng, Edmund Licata, Anthony M. Yacobi, Oded Representation Theory Group Theory Geometric Topology Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action on the corresponding 2-Calabi--Yau category and on its space of (fusion equivariant) Bridgeland stability conditions. The main theorem is that an element $β$ is periodic if and only if $β$ has a fixed point in the stability manifold. |
| title | Periodic elements in finite type Artin-Tits groups and stability conditions |
| topic | Representation Theory Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2502.20711 |