Algebraic Topology of Calabi-Yau Threefolds in Toric Varieties

Abstract

We compute the integral homology (including torsion), the topological K-theory, and the Hodge structure on cohomology of Calabi-Yau threefold hypersurfaces and complete intersections in Gorenstein toric Fano varieties. The methods are purely topological.

References in corpus (3)

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds
• Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds

Cited by in corpus (6)

• Dimensional Reduction of Cobordism and K-theory
• Ramond-Ramond fields and twisted differential K-theory
• The Brauer group is not a derived invariant
• Suspension homotopy of $6$-manifolds
• Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm
• Complex K-theory of mirror pairs