Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds

DOI10.1007/s002080050125zbMath0901.14024arXivalg-geom/9608004OpenAlexW2963880660MaRDI QIDQ1374734

P. M. H. Wilson, Mark Gross

Publication date: 10 December 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9608004

zbMATH Keywords

mirror symmetryCalabi-Yau threefoldsK3 surfacesmirror duals

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Compact complex (3)-folds (32J17) (3)-folds (14J30)

Related Items

Lattice polarized irreducible holomorphic symplectic manifolds, \(N=1\) dualities of \(SO\) and \(USp\) gauge theories and T-duality of string theory, Autoequivalences of derived category of a K3 surface and monodromy transformations, \(G_2\)-manifolds and coassociative torus fibration, SYZ mirror symmetry for del Pezzo surfaces and affine structures, Convergence of Calabi-Yau manifolds, K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant, Torus fibrations of Calabi-Yau hypersurfaces in toric varieties, Perverse Sheaves of Categories and Non-rationality, New \(N=1\) supersymmetric 3-dimensional superstring vacua from U-manifolds, Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes, Adiabatic limits of anti-self-dual connections on collapsed \(K3\) surfaces, \(U\)-branes and \(T^3\) fibrations, On mirror symmetry for manifolds of exceptional holonomy, A mirror pair of Calabi-Yau four-folds in type II string theory, Non-perturbative heterotic duals of M-theory on \(G_2\) orbifolds