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PreprintarXiv licencearXiv

A remark on the AI proof of the Deligne--Drinfeld conjecture

Abstract

We give a geometric interpretation of the projection and reconstruction underlying the Open AI's characteristic-two proof of the Deligne--Drinfeld conjecture. Using the double covering and filling a puncture, we construct a morphism on normalized level-two associators with an explicit inverse on its image. We compute the restricted tangent reconstruction in the pro-2 realization and identify the leading coefficient maps with those of the OpenAI proof, making its implicit reconstruction explicit.

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BibTeX
@misc{markarian2026remark,
  title = {{A remark on the AI proof of the Deligne--Drinfeld conjecture}},
  author = {Nikita Markarian},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.01745},
  eprint = {2611.01745},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.01745},
}
RIS
TY  - UNPB
TI  - A remark on the AI proof of the Deligne--Drinfeld conjecture
AU  - Nikita Markarian
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.01745
UR  - https://arxiv.org/abs/2611.01745
AB  - We give a geometric interpretation of the projection and reconstruction underlying the Open AI's characteristic-two proof of the Deligne--Drinfeld conjecture. Using the double covering and filling a puncture, we construct a morphism on normalized level-two associators with an explicit inverse on its image. We compute the restricted tangent reconstruction in the pro-2 realization and identify the leading coefficient maps with those of the OpenAI proof, making its implicit reconstruction explicit.
ER  -