On the number of complete intersection Calabi-Yau manifolds

DOI10.1007/BF02097661zbMath0722.53061OpenAlexW2011052654MaRDI QIDQ756171

Anming He, Philip Candelas

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02097661

zbMATH Keywords

intersection numbersPontryagin classintegral cohomologyHodge numbersCICY manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Applications of global differential geometry to the sciences (53C80) Complete intersections (14M10)

Related Items

HODGE NUMBER DISTRIBUTION FOR CICY MANIFOLDS, Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties, On the connectedness of the moduli space of Calabi-Yau manifolds, The web of Calabi-Yau hypersurfaces in toric varieties, Exploring positive monad bundles and a new heterotic standard model, Betti numbers of a class of barely \(G_{2}\) manifolds, Counting flux vacua, Fibrations in CICY threefolds, Landau-Ginzburg string vacua., Heterotic models from vector bundles on toric Calabi-Yau manifolds, AN ALGORITHMIC APPROACH TO STRING PHENOMENOLOGY, Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces, Hodge numbers for CICYs with symmetries of order divisible by 4, Combinatorics in \({\mathcal N}=1\) heterotic vacua, Heterotic strings on \((K3 \times T^2)/ \mathbb{Z}_3\) and their dual Calabi-Yau threefolds

Cites Work

• Calabi-Yau manifolds - motivations and constructions
• Classification problems in differential topology. V: On certain 6- manifolds
• All the Hodge numbers for all Calabi-Yau complete intersections
• (1,1) ³ couplings in Calabi-Yau threefolds