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PreprintCC BY 4.0arXiv

Magnetic cotangent groupoids

  • Dadi Ni
  • Kaichuan Qi
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Abstract

We introduce magnetic cotangent groupoids on the cotangent bundle of a Lie groupoid using normalized cocycles, and characterize when magnetic symplectic forms are multiplicative on these groupoids. We show that ๐•Š1-central extensions of Lie groupoids yield such structures via symplectic reduction. For a Kac--Moody extension, the resulting deformation connects the coadjoint and gauge action groupoids, which are not Morita equivalent.

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Cite

BibTeXRIS
BibTeX
@misc{ni2026magnetic,
  title = {{Magnetic cotangent groupoids}},
  author = {Dadi Ni and Kaichuan Qi},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.22288},
  eprint = {2606.22288},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.22288},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Magnetic cotangent groupoids
AU  - Dadi Ni
AU  - Kaichuan Qi
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.22288
UR  - https://arxiv.org/abs/2606.22288
AB  - We introduce magnetic cotangent groupoids on the cotangent bundle of a Lie groupoid using normalized cocycles, and characterize when magnetic symplectic forms are multiplicative on these groupoids. We show that ๐•Š^1-central extensions of Lie groupoids yield such structures via symplectic reduction. For a Kac--Moody extension, the resulting deformation connects the coadjoint and gauge action groupoids, which are not Morita equivalent.
ER  -