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Monopole Floer Homology and Real Structures
- Publication Year :
- 2022
-
Abstract
- We define a "real" version of Kronheimer-Mrowka's monopole Floer homology for a 3-manifold equipped with an involution. As a special case, we obtain invariants for links via their double branched covers. The new input is the notion of a real spin-c structure, which consists of a spin-c structure along with a compatible anti-linear involution on the spinor bundle.<br />Comment: 79 pages. arXiv admin note: text overlap with arXiv:1404.4561 by other authors
- Subjects :
- Mathematics - Geometric Topology
57R58, 57M25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2211.10768
- Document Type :
- Working Paper