A new construction of compact 8-manifolds with holonomy Spin(7).
From MaRDI portal
Publication:1609745
DOI10.4310/jdg/1214425448zbMath1040.53062arXivmath/9910002OpenAlexW1571437197WikidataQ115193610 ScholiaQ115193610MaRDI QIDQ1609745
Publication date: 15 August 2002
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9910002
orbifoldsholonomy groupweighted projective spacesasymptotically locally Euclidean manifoldCalabi-Yau orbifold
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Issues of holonomy in differential geometry (53C29)
Related Items
Argument shift method and sectional operators: applications to differential geometry, Obstructions to positive curvature and symmetry, Spin(7)-manifolds as generalized connected sums and 3d \( \mathcal{N}=1 \) theories, Cohomologies of certain orbifolds, F‐theory and Dark Energy, Analysis, geometry and topology of positive scalar curvature metrics. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting), New examples of compact manifolds with holonomy Spin(7), Transversality for the moduli space of Spin(7)-instantons, Generalised Kummer construction and the cohomology rings of $G_2$-manifolds, \( \mathcal{N} = 1 \) Chern-Simons theories, orientifolds and Spin(7) cones, Linear perturbations of metrics with holonomy Spin(7), Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants, M-theory and orientifolds, Spin(7)-instantons, Cayley submanifolds and Fueter sections, Mirror symmetry and the type II string, A construction of \(\mathrm{Spin}(7)\)-instantons, New cohomogeneity one metrics with spin(7) holonomy, New complete noncompact Spin(7) manifolds, Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds, \(\text{Spin}(7)\)-instantons from evolution equations, M-theory on Spin(7) manifolds, On mirror maps for manifolds of exceptional holonomy, Gluing construction of compact \(\mathrm{Spin}(7)\)-manifolds, 2d \(\mathcal{N} = (0, 1)\) gauge theories and Spin(7) orientifolds, Spin(7)-manifolds and multisymplectic geometry
