Calibrated manifolds and Gauge theory

DOI10.1515/CRELLE.2008.094zbMath1157.53027arXivmath/0402368OpenAlexW2963462561MaRDI QIDQ3600021

Sema Salur, Selman Akbulut

Publication date: 10 February 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402368

zbMATH Keywords

Dirac operatorlocal invariantsSeiberg-Witten equationsdeformation spaceassociative submanifold

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Spin and Spin({}^c) geometry (53C27) Calibrations and calibrated geometries (53C38) Deformations of submanifolds and subspaces (32G10)

Related Items (8)

Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary ⋮ An \( \mathcal{N}=1 \) 3d-3d correspondence ⋮ Geometric structures on \(G_2\) manifolds ⋮ Lagrangian-type submanifolds of \(G_2\) and \(\operatorname{Spin}(7)\) manifolds and their deformations ⋮ Deformations of associative submanifolds with boundary ⋮ Topology of \(\phi\)-convex domains in calibrated manifolds ⋮ Deformations in \(G_{2}\) manifolds ⋮ Algebraic topology of \(G_{2}\) manifolds

Cites Work

• Calibrated geometries
• Metrics with exceptional holonomy
• On the construction of some complete metrics with exceptional holonomy
• Deformations in \(G_{2}\) manifolds
• Postnikov invariants and higher order cohomology operations
• Deformations of G₂ and Spin(7) Structures
• Submanifolds and Homology of Nonsingular Real Algebraic Varieties
• Torsion Classes and a Universal Constraint on Donaldson Invariants for Odd Manifolds
• SEIBERG-WITTEN-FLOER HOMOLOGY AND HEEGAARD SPLITTINGS

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