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PreprintarXiv licencearXiv

Remarks on covariant differential calculus on the non-standard quantum Podleś sphere

Abstract

An SUq(2)-covariant first-order differential calculus on the non-standard quantum Podleś two-sphere is constructed. The module of one-forms is explicitly given in terms of modules of sections of charge ± 2 line bundles associated to the quantum Hopf fibration.

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BibTeX
@misc{brzezinski2026remarks,
  title = {{Remarks on covariant differential calculus on the non-standard quantum Podleś sphere}},
  author = {Tomasz Brzezinski and Réamonn Ó Buachalla},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33572},
  eprint = {2610.33572},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33572},
}
RIS
TY  - UNPB
TI  - Remarks on covariant differential calculus on the non-standard quantum Podleś sphere
AU  - Tomasz Brzezinski
AU  - Réamonn Ó Buachalla
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33572
UR  - https://arxiv.org/abs/2610.33572
AB  - An SU_q(2)-covariant first-order differential calculus on the non-standard quantum Podleś two-sphere is constructed. The module of one-forms is explicitly given in terms of modules of sections of charge ± 2 line bundles associated to the quantum Hopf fibration.
ER  -