Toric geometry of \(\operatorname{G}_2\)-manifolds

DOI10.2140/gt.2019.23.3459zbMath1431.53049arXiv1803.06646OpenAlexW3121164183WikidataQ126395218 ScholiaQ126395218MaRDI QIDQ2285041

Thomas Bruun Madsen, Andrew F. Swann

Publication date: 16 January 2020

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06646

zbMATH Keywords

toric geometryexceptional holonomyGibbons-Hawking ansatzmultimoment maps

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Momentum maps; symplectic reduction (53D20) Issues of holonomy in differential geometry (53C29) Singularities of differentiable mappings in differential topology (57R45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (5)

Special holonomy manifolds, domain walls, intersecting branes and T-folds ⋮ Global properties of toric nearly Kähler manifolds ⋮ Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds ⋮ Multi-moment maps on nearly Kähler six-manifolds ⋮ \(G_2\)-metrics arising from non-integrable special Lagrangian fibrations

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