On the existence of harmonic \(\mathbf{Z}_2\) spinors

zbMath1486.53067arXiv1710.06781MaRDI QIDQ2039748

Aleksander Doan, Thomas Walpuski

Publication date: 5 July 2021

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06781

zbMATH Keywords

3-manifoldswall-crossing formulamultivalued harmonic spinorsSeiberg-Witten equation with multiple spinors

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43)

Related Items (1)

Coulomb and Higgs phases of \(G_2\)-manifolds

Cites Work

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• Adiabatic limits and Kazdan-Warner equations
• \(\mathrm{PSL}(2; \mathbb C)\) connections on 3-manifolds with \(L^2\) bounds on curvature
• Gauge Theory in higher dimensions, II
• The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification
• Generic vanishing for harmonic spinors of twisted Dirac operators
• Spectral asymmetry and Riemannian geometry. III
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

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