2006/05/02 by Charles F. Doran, John W. Morgan
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Algebraic variety #Calabi–Yau manifold #Cohomology #Combinatorics #Equivariant cohomology #Fano plane #Geometry and complex manifolds #Hodge structure #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Quantum cohomology #Topology (electrical circuits) #Toric variety #Torsion (gastropod) #math.AG #math.AT
paper · pdf · doi:10.2140/gt.2007.11.597
published as Geom. Topol. 11 (2007) 597-642
arxiv created 2006/05/02 · openalex publication_date 2007/05/10 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the integral homology (including torsion), the topological K–theory, and the Hodge structure on cohomology of Calabi–Yau threefold hypersurfaces and semiample complete intersections in toric varieties associated with maximal projective triangulations of reflexive polytopes. The methods are purely topological.