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Algebraic Topology of Calabi-Yau Threefolds in Toric Varieties

Charles F. Doran, John W. Morgan

math.AGarXiv:math/0605074

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.

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