Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\)

DOI10.4310/jdg/1686931600zbMath1529.53022arXiv1811.02405OpenAlexW4380884422MaRDI QIDQ6113405

Dominic David Joyce, Markus Upmeier

Publication date: 9 August 2023

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

Full work available at URL: https://arxiv.org/abs/1811.02405

zbMATH Keywords

\(G_2\)-instantonsmoduli space of connectionsorientation of moduli spaces

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Equations in function spaces; evolution equations (58D25)

Cites Work

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• \(G_{2}\)-instantons on generalised Kummer constructions
• Plongements différentiables de variétés dans variétés
• \(G_2\)-instantons, associative submanifolds and Fueter sections
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Construction of \(\mathrm{G}_2\)-instantons via twisted connected sums
• Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds
• \(G_{2}\)-instantons over asymptotically cylindrical
• On orientations for gauge-theoretic moduli spaces
• \(\mathrm{G}_{2}\)-instantons over twisted connected
• Clifford modules
• The index of elliptic operators. I
• The index of elliptic operators. III
• The index of elliptic operators. IV, V
• Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds
• On spin structures and orientations for gauge-theoretic moduli spaces
• An introduction to d-manifolds and derived differential geometry
• A Categorified Excision Principle for Elliptic Symbol Families
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. III
• Kuranishi spaces as a 2-category
• Integro-Differential Operators on Vector Bundles
• All 3-manifolds imbed in 5-space