Higher dimensional knot spaces for manifolds with vector cross products

DOI10.1016/j.aim.2006.12.003zbMath1189.53079OpenAlexW1991256474MaRDI QIDQ2370159

Naichung Conan Leung, Jae-Hyouk Lee

Publication date: 22 June 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.12.003

zbMATH Keywords

instantonsbranesvector cross productholomorphic symplectic spaces on isotropic knot spacessymplectic structures on knot spaces

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Lagrangian submanifolds; Maslov index (53D12) Symplectic structures of moduli spaces (53D30)

Related Items (3)

CR-twistor spaces over manifolds with \(G_2\)- and spin(7)-structures ⋮ Nonlinear flag manifolds as coadjoint orbits ⋮ A formally Kähler structure on a knot space of a \(G_2\)-manifold

Cites Work

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• Calibrated geometries
• Morse theory for Lagrangian intersections
• Moment maps and diffeomorphisms
• A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space
• Vector cross products
• The Self-Duality Equations on a Riemann Surface
• Marston Morse and his mathematical works
• Vector Cross Products on Manifolds
• Loop spaces, characteristic classes and geometric quantization

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