Finiteness and holonomicity of skein modules
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_ | 1866909809238867968 |
|---|---|
| author | Jordan, David Romaidis, Iordanis |
| author_facet | Jordan, David Romaidis, Iordanis |
| contents | We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal skein algebra of the boundary - a property including finite generation and a Lagrangian support condition. Our approach involves defining skein transfer bimodules, topologically obtained by 2-handle attachments, and establishing q-analogues of statements in D-module theory to prove preservation of holonomicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finiteness and holonomicity of skein modules Jordan, David Romaidis, Iordanis Quantum Algebra Geometric Topology We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal skein algebra of the boundary - a property including finite generation and a Lagrangian support condition. Our approach involves defining skein transfer bimodules, topologically obtained by 2-handle attachments, and establishing q-analogues of statements in D-module theory to prove preservation of holonomicity. |
| title | Finiteness and holonomicity of skein modules |
| topic | Quantum Algebra Geometric Topology |
| url | https://arxiv.org/abs/2509.22313 |