Mirror Duality via G 2 and Spin(7) Manifolds

DOI10.1007/978-0-8176-4831-2_1zbMath1211.53098arXivmath/0605277OpenAlexW2460054641MaRDI QIDQ3062247

Sema Salur, Selman Akbulut

Publication date: 3 January 2011

Published in: Arithmetic and Geometry Around Quantization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605277

zbMATH Keywords

Calabi-Yau manifoldsspin structuremirror pair\(G_2\) manifoldsmirror dualitySpin(7) manifolds\(\chi\)-flowassociative submanifold

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (8)

Geometric structures on \(G_2\) manifolds ⋮ Toric \(G_{2}\) and \(\operatorname{spin}(7)\) holonomy spaces from gravitational instantons and other examples ⋮ Deformations in \(G_{2}\) manifolds ⋮ Remarks on Hamiltonian structures in G2-geometry ⋮ Unnamed Item ⋮ Algebraic topology of \(G_{2}\) manifolds ⋮ Complex $\text{G}_2$ and Associative Grassmannian ⋮ Mirror duality in a Joyce manifold

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