A compact non‐formal closed G2manifold with b1=1$b_1=1$

DOI10.1002/mana.202000452arXiv2005.04924MaRDI QIDQ6093907

Lucía Martín-Merchán

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04924

zbMATH Keywords

formality\(\mathrm{G}_2\) orbifold resolutionclosed \(\mathrm{G}_2\) structures

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Calibrations and calibrated geometries (53C38) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• Simply connected K-contact and Sasakian manifolds of dimension 7
• \(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
• Nilmanifolds with a calibrated \(G_{2}\)-structure
• Riemannian manifolds with structure group \(G_ 2\)
• The \(\mathcal{L}_B\)-cohomology on compact torsion-free \(\mathrm{G}_2\) manifolds and an application to `almost' formality
• Lifting homotopy actions in rational homotopy theory
• Calibrated geometries
• An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
• A family of compact solvable \(G_ 2\)-calibrated manifolds
• Metrics with exceptional holonomy
• Real homotopy theory of Kähler manifolds
• Formality of Donaldson submanifolds
• On the construction of some complete metrics with exceptional holonomy
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• Compact solvmanifolds with calibrated and cocalibrated \(\mathrm{G}_2\)-structures
• A new construction of compact torsion-free \(G_2\)-manifolds by gluing families of Eguchi-Hanson spaces
• Symplectic resolution of orbifolds with homogeneous isotropy
• Symplectic resolutions, Lefschetz property and formality
• On fibering certain foliated manifolds over \(S^1\)
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• K3 surfaces with non-symplectic involution and compact irreducible G₂-manifolds
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Twisted connected sums and special Riemannian holonomy
• Notes on the octonions
• The rational homotopy type of (n−1)‐connected manifolds of dimension up to 5n−3
• Vector fields and Ricci curvature
• Symplectic manifolds with no Kähler structure

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