A simple algebraic proof of the non-transitivity of the braid group action on full exceptional sequences
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908690695585792 |
|---|---|
| author | Nakago, Atsuki Takahashi, Atsushi |
| author_facet | Nakago, Atsuki Takahashi, Atsushi |
| contents | Recently, Chang--Haiden--Schroll shows that the braid group action on full exceptional collections in a triangulated category is not transitive but has infinitely many orbits in general. Their proof is based on a geometric model and the theory of branched coverings such as Birman--Hilden theory. This paper provides a simple algebraic proof of their theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple algebraic proof of the non-transitivity of the braid group action on full exceptional sequences Nakago, Atsuki Takahashi, Atsushi Algebraic Geometry Representation Theory 16E35 16G20 Recently, Chang--Haiden--Schroll shows that the braid group action on full exceptional collections in a triangulated category is not transitive but has infinitely many orbits in general. Their proof is based on a geometric model and the theory of branched coverings such as Birman--Hilden theory. This paper provides a simple algebraic proof of their theorem. |
| title | A simple algebraic proof of the non-transitivity of the braid group action on full exceptional sequences |
| topic | Algebraic Geometry Representation Theory 16E35 16G20 |
| url | https://arxiv.org/abs/2512.03554 |