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PreprintCC BY-NC-ND 4.0arXiv

q-Oper Structures on a Formal Punctured Disc

Abstract

Let G be a connected reductive complex algebraic group and let q∈ℂ× be not a root of unity. We prove that every (G,q)-connection on a formal punctured disc admits a (G,q)-oper structure.

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BibTeX
@misc{kashyap2026qoper,
  title = {{$q$-Oper Structures on a Formal Punctured Disc}},
  author = {Rudrendra Kashyap and Rahul Singh},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07588},
  eprint = {2609.07588},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07588},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - q-Oper Structures on a Formal Punctured Disc
AU  - Rudrendra Kashyap
AU  - Rahul Singh
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.07588
UR  - https://arxiv.org/abs/2609.07588
AB  - Let G be a connected reductive complex algebraic group and let q∈ℂ^× be not a root of unity. We prove that every (G,q)-connection on a formal punctured disc admits a (G,q)-oper structure.
ER  -