Geometric structures on \(G_2\) and Spin(7)-manifolds

DOI10.4310/ATMP.2009.v13.n1.a1zbMath1171.81417arXivmath/0202045OpenAlexW2142268897MaRDI QIDQ1027105

Jae-Hyouk Lee, Naichung Conan Leung

Publication date: 30 June 2009

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202045

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli problems for differential geometric structures (58D27) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (6)

Examples of deformed \(\mathrm{G}_2\)-instantons/Donaldson-Thomas connections ⋮ Deformation theory of deformed Donaldson-Thomas connections for \(\mathrm{Spin}(7)\)-manifolds ⋮ Cayley form, comass, and triality isomorphisms ⋮ Ricci flow, Killing spinors, and T-duality in generalized geometry ⋮ \(L^2\) harmonic forms on complete special holonomy manifolds ⋮ Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections

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