Desingularization of \(G_{2}\) manifolds with isolated conical singularities

DOI10.2140/gt.2009.13.1583zbMath1161.53348arXiv0807.3346OpenAlexW3124944055WikidataQ125869592 ScholiaQ125869592MaRDI QIDQ1006162

Spiro Karigiannis

Publication date: 19 March 2009

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

Full work available at URL: https://arxiv.org/abs/0807.3346

zbMATH Keywords

conical singularitydesingularizationasymptotically conical manifold\(G_{2}\) manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Issues of holonomy in differential geometry (53C29)

Related Items (10)

Mini-workshop: Singularities in \(G_2\)-geometry. Abstracts from the mini-workshop held February 8--14, 2015. ⋮ Topology of asymptotically conical Calabi-Yau and \(G_2\) manifolds and desingularization of nearly Kähler and nearly \(G_2\) conifolds ⋮ Stability of the tangent bundle through conifold transitions ⋮ Rate of asymptotic convergence near an isolated singularity of \(\mathrm{G}_2\) manifold ⋮ A new construction of compact torsion-free \(G_2\)-manifolds by gluing families of Eguchi-Hanson spaces ⋮ Singular foliations for M-theory compactification ⋮ MODULI SPACES OF G₂ MANIFOLDS ⋮ Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces ⋮ Desingularization of \(G_{2}\) manifolds with isolated conical singularities ⋮ Complete noncompact \(\mathrm{G}_2\)-manifolds from asymptotically conical Calabi-Yau 3-folds

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