Absolute mod-two gradings on framed real monopole Floer homology

@misc{li2026absolute,
  title = {{Absolute mod-two gradings on framed real monopole Floer homology}},
  author = {Jiakai Li and Ciprian Manolescu},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.10927},
  eprint = {2611.10927},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.10927},
}

TY  - UNPB
TI  - Absolute mod-two gradings on framed real monopole Floer homology
AU  - Jiakai Li
AU  - Ciprian Manolescu
PY  - 2026
DA  - 2026/11/07
PB  - arXiv
DO  - 10.48550/arxiv.2611.10927
UR  - https://arxiv.org/abs/2611.10927
AB  - We construct absolute mod-two gradings on framed real monopole Floer homology, for real 3-manifolds such that the image of the fixed point set in the quotient is nullhomologous. This allows us to fix the sign of Miyazawa's degree invariant. Our construction uses a mod-two index-theoretic correction term, the Arf invariant.
ER  -