Monopole Floer Homology and Real Structures
Geometric Topology
2022-11-22 v1
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.
Keywords
Cite
@article{arxiv.2211.10768,
title = {Monopole Floer Homology and Real Structures},
author = {Jiakai Li},
journal= {arXiv preprint arXiv:2211.10768},
year = {2022}
}
Comments
79 pages. arXiv admin note: text overlap with arXiv:1404.4561 by other authors