Mirror duality and string-theoretic Hodge numbers

Abstract

We prove in full generality the mirror duality conjecture for string-theoretic Hodge numbers of Calabi-Yau complete intersections in Gorenstein toric Fano varieties. The proof is based on properties of intersection cohomology

20 pages, Latex

Cited by in corpus (27)

• Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
• Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
• Calabi-Yau 4-folds and toric fibrations
• Taming Calabi-Yau Feynman integrals: The four-loop equal-mass banana integral
• Bananas of equal mass: any loop, any order in the dimensional regularisation parameter
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Worldsheet Instantons and Torsion Curves, Part B: Mirror Symmetry
• PALP - a User Manual
• Toric Methods in F-theory Model Building
• Symmetries of Lagrangian fibrations
• Cohomology of Line Bundles: Applications
• A categorification of U_T sl(1,1) and its tensor product representations
• Conifold transitions via affine geometry and mirror symmetry
• A Calabi-Yau-to-Curve Correspondence for Feynman Integrals
• Second quantized Frobenius algebras
• Tropical Geometry and the Motivic Nearby Fiber
• On genus one mirror symmetry in higher dimensions and the BCOV conjectures
• Reflexive polytopes of higher index and the number 12
• Minuscule Schubert Varieties and Mirror Symmetry
• Involutions, obstructions and mirror symmetry
• Mirror pairs of Calabi-Yau threefolds from mirror pairs of quasi-Fano threefolds
• Real Lagrangians in Calabi-Yau Threefolds
• The making of Calabi-Yau spaces: Beyond toric hypersurfaces
• Mirror symmetry for quasi-smooth Calabi-Yau hypersurfaces in weighted projective spaces
• On the cohomology groups of real Lagrangians in Calabi-Yau threefolds
• On stringy cohomology spaces
• Mirror symmetry for tropical hypersurfaces and patchworking