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Multi-framed real monopole Floer theory

  • Jiakai Li
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Abstract

This paper constructs a framed real monopole Floer homology for three-manifolds with involutions, marked with multiple basepoints. The relative gradings of these Floer homologies depend on the framing information and the paper gives a sufficient condition for the existence of relative mod two gradings. Assuming orientability and choices of orientations, this paper also proposes a definition of Z-valued framed real Seiberg--Witten invariants for 4-manifolds with involutions, marked with circles.

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Cite

BibTeXRIS
BibTeX
@misc{li2026multiframed,
  title = {{Multi-framed real monopole Floer theory}},
  author = {Jiakai Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.28596},
  eprint = {2606.28596},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.28596},
}
RIS
TY  - UNPB
TI  - Multi-framed real monopole Floer theory
AU  - Jiakai Li
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2606.28596
UR  - https://arxiv.org/abs/2606.28596
AB  - This paper constructs a framed real monopole Floer homology for three-manifolds with involutions, marked with multiple basepoints. The relative gradings of these Floer homologies depend on the framing information and the paper gives a sufficient condition for the existence of relative mod two gradings. Assuming orientability and choices of orientations, this paper also proposes a definition of Z-valued framed real Seiberg--Witten invariants for 4-manifolds with involutions, marked with circles.
ER  -