Geometry & Topology

Algebraic topology of Calabi–Yau threefolds in toric varieties

Charles Doran and John W Morgan

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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513799840

Digital Object Identifier
doi:10.2140/gt.2007.11.597

Mathematical Reviews number (MathSciNet)
MR2302498

Zentralblatt MATH identifier
1137.14028

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

Keywords
Calabi–Yau manifolds oric varieties

Citation

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. https://projecteuclid.org/euclid.gt/1513799840


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