Asymptotically cylindrical 7-manifolds of holonomy \(G_{2}\) with applications to compact irreducible \(G _{2}\)-manifolds

DOI10.1007/s10455-010-9210-8zbMath1209.53037arXiv0907.0497OpenAlexW3101943022MaRDI QIDQ708844

Alexei Kovalev, Johannes Nordström

Publication date: 14 October 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0497

zbMATH Keywords

moduli spacesspecial holonomycoassociative submanifolds\(G _2\)-manifoldsasymptotically cylindrical manifolds

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

Related Items (8)

Superconformal algebras for generalized Spin(7) and \(G_2\) connected sums ⋮ Spin(7)-manifolds as generalized connected sums and 3d \( \mathcal{N}=1 \) theories ⋮ New invariants of \(G_{2}\)-structures ⋮ Evidence for an algebra of \(G_2\) instantons ⋮ Constructions of Compact $$G_2$$-Holonomy Manifolds ⋮ QR-submanifolds and Riemannian metrics with holonomy \(G_2\) ⋮ Towards generalized mirror symmetry for twisted connected sum \(G_2\) manifolds ⋮ K3 surfaces with non-symplectic involution and compact irreducible G₂-manifolds

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