Complex $G_2$-manifolds and Seiberg-Witten Equations

zbMath1462.53051arXiv1804.09951MaRDI QIDQ5208906

Selman Akbulut, Üstün Yıldırım

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1804.09951

zbMATH Keywords

Seiberg-Witten equations\(G_2\) manifoldassociative submanifoldcomplex \(G_2\) manifold

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Issues of holonomy in differential geometry (53C29) Calibrations and calibrated geometries (53C38) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

Cites Work

• Unnamed Item
• Calibrated associative and Cayley embeddings
• Calibrated geometries
• Metrics with exceptional holonomy
• Deformations of calibrated submanifolds
• Deformations in \(G_{2}\) manifolds
• Postnikov invariants and higher order cohomology operations
• Corrigenda to: Introduction to Symplectic Topology
• Algebraic topology of \(G_{2}\) manifolds

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