Geometry & Topology

Algebraic topology of Calabi–Yau threefolds in toric varieties

Charles Doran and John W Morgan

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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.

Article information

Geom. Topol., Volume 11, Number 1 (2007), 597-642.

Received: 20 June 2006
Revised: 30 October 2006
Accepted: 3 December 2006
First available in Project Euclid: 20 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14J32: Calabi-Yau manifolds
Secondary: 32Q25: Calabi-Yau theory [See also 14J30]

Calabi–Yau manifolds oric varieties


Doran, Charles; Morgan, John W. Algebraic topology of Calabi–Yau threefolds in toric varieties. Geom. Topol. 11 (2007), no. 1, 597--642. doi:10.2140/gt.2007.11.597.

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