$Pin^{-}(2)$ Bauer-Furuta invariants
Differential Geometry
2026-03-31 v1 Geometric Topology
Abstract
Adapting Bauer and Furuta's constructions of the refinement of the Seiberg-Witten invariants, we establish the analogous stable cohomotopy refinement of the monopole invariants proposed by Nakamura \cite{nakamura2015pin}, and give the corresponding connected sum formula.
Cite
@article{arxiv.2603.27842,
title = {$Pin^{-}(2)$ Bauer-Furuta invariants},
author = {Hao Wu},
journal= {arXiv preprint arXiv:2603.27842},
year = {2026}
}
Comments
20 pages, 8 figures