On the rational cohomology ring of a certain \(G_2\)-manifold

DOI10.33048/semi.2018.15.133zbMath1484.53090OpenAlexW3015397020MaRDI QIDQ2633397

Igor' Vladimirovich Fedorov

Publication date: 8 May 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2018.15.133

zbMATH Keywords

intersection theory\(G_2\)-manifoldcohomology ring

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Calibrations and calibrated geometries (53C38) Intersection homology and cohomology in algebraic topology (55N33)

Cites Work

• \(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• K3 surfaces with non-symplectic involution and compact irreducible G₂-manifolds
• Twisted connected sums and special Riemannian holonomy
• A canonical basis of two-cycles on a $K3$ surface
• Generalised Kummer construction and the cohomology rings of $G_2$-manifolds
• Unnamed Item