$Pin^{-}(2)$ Bauer-Furuta invariants

Fuente: arXiv
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Main Author: Wu, Hao
Format: Preprint
Published: 2026
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_version_ 1866911554122809344
author Wu, Hao
author_facet Wu, Hao
contents Adapting Bauer and Furuta's constructions of the refinement of the Seiberg-Witten invariants, we establish the analogous stable cohomotopy refinement of the $Pin^{-}(2)$ monopole invariants proposed by Nakamura \cite{nakamura2015pin}, and give the corresponding connected sum formula.
format Preprint
id arxiv_https___arxiv_org_abs_2603_27842
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle $Pin^{-}(2)$ Bauer-Furuta invariants
Wu, Hao
Differential Geometry
Geometric Topology
57R57
Adapting Bauer and Furuta's constructions of the refinement of the Seiberg-Witten invariants, we establish the analogous stable cohomotopy refinement of the $Pin^{-}(2)$ monopole invariants proposed by Nakamura \cite{nakamura2015pin}, and give the corresponding connected sum formula.
title $Pin^{-}(2)$ Bauer-Furuta invariants
topic Differential Geometry
Geometric Topology
57R57
url https://arxiv.org/abs/2603.27842