The universal moduli space of non-degenerate ℤ/2ℤ harmonic spinors

@misc{he2026universal,
  title = {{The universal moduli space of non-degenerate $\mathbbZ/2\mathbbZ$ harmonic spinors}},
  author = {Siqi He and Gregory J. Parker and Thomas Walpuski},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02848},
  eprint = {2609.02848},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02848},
  note = {CC BY-NC-SA 4.0},
}

TY  - UNPB
TI  - The universal moduli space of non-degenerate ℤ/2ℤ harmonic spinors
AU  - Siqi He
AU  - Gregory J. Parker
AU  - Thomas Walpuski
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.02848
UR  - https://arxiv.org/abs/2609.02848
AB  - This article equips the universal moduli spaces of non-degenerate ℤ/2ℤ harmonic spinors and eigenspinors with tame Fréchet manifold structures and proves that their natural projections to the corresponding parameter spaces are uniformly Fredholm. A unified construction yields the deformation theories of harmonic spinors and eigenspinors in dimension three and of chiral harmonic spinors in dimension four, recovering earlier work of Donaldson, Parker, and Takahashi. As an application, a deformation theory for non-degenerate ℤ/2ℤ harmonic self-dual $2$-forms in dimension four is established.
ER  -