Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.00154 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911463396868096 |
|---|---|
| author | Christ, Merlin Haiden, Fabian Qiu, Yu |
| author_facet | Christ, Merlin Haiden, Fabian Qiu, Yu |
| contents | We introduce a class of dg-algebras which generalize the classical Brauer graph algebras. They are constructed from mixed-angulations of surfaces and often admit a (relative) Calabi--Yau structure. We discovered these algebras through two very distinct routes, one involving perverse schobers whose stalks are cyclic quotients of the derived categories of relative Ginzburg algebras, and another involving deformations of partially wrapped Fukaya categories of surfaces. Applying the results of our previous work arXiv:2303.18249, we describe the spaces of stability conditions on the derived categories of these algebras in terms of spaces of quadratic differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebras Christ, Merlin Haiden, Fabian Qiu, Yu Representation Theory Geometric Topology We introduce a class of dg-algebras which generalize the classical Brauer graph algebras. They are constructed from mixed-angulations of surfaces and often admit a (relative) Calabi--Yau structure. We discovered these algebras through two very distinct routes, one involving perverse schobers whose stalks are cyclic quotients of the derived categories of relative Ginzburg algebras, and another involving deformations of partially wrapped Fukaya categories of surfaces. Applying the results of our previous work arXiv:2303.18249, we describe the spaces of stability conditions on the derived categories of these algebras in terms of spaces of quadratic differentials. |
| title | Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebras |
| topic | Representation Theory Geometric Topology |
| url | https://arxiv.org/abs/2407.00154 |