Skein theory, line defects, and quantum symmetric pairs

@misc{chen2026skein,
  title = {{Skein theory, line defects, and quantum symmetric pairs}},
  author = {Eric Yen-Yo Chen and David Jordan and Iordanis Romaidis},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18902},
  eprint = {2609.18902},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18902},
}

TY  - UNPB
TI  - Skein theory, line defects, and quantum symmetric pairs
AU  - Eric Yen-Yo Chen
AU  - David Jordan
AU  - Iordanis Romaidis
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18902
UR  - https://arxiv.org/abs/2609.18902
AB  - We construct skein theory for 3-manifolds with embedded line defects, starting from the data of a ribbon tensor category and its balanced braided module category. We focus on line defects arising from quantum symmetric pairs, and prove finiteness properties for their defect skein modules. As an application, we consider Z_2-equivariant skein theory and establish an equivalence with defect skein theory in certain settings, leading to a skein theoretical construction of a family of C^∨C DAHA-modules in the Type AIII case.
ER  -