Volume 11, issue 1 (2007)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Algebraic topology of Calabi–Yau threefolds in toric varieties

Charles F Doran and John W Morgan

Geometry & Topology 11 (2007) 597–642

arXiv: math.AG/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 semiample complete intersections in toric varieties associated with maximal projective triangulations of reflexive polytopes. The methods are purely topological.

Keywords
Calabi–Yau manifolds, oric varieties
Mathematical Subject Classification 2000
Primary: 14J32
Secondary: 32Q25
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Publication
Received: 20 June 2006
Revised: 30 October 2006
Accepted: 3 December 2006
Published: 10 May 2007
Proposed: Walter Neumann
Seconded: Gang Tian, Ralph Cohen
Authors
Charles F Doran
Department of Mathematics
University of Washington
Seattle
Washington 98195
USA
http://www.math.washington.edu/~doran/
John W Morgan
Department of Mathematics
Columbia University
New York
New York 10027
USA
http://www.math.columbia.edu/~jm/