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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.
Doran, Charles 1 ; Morgan, John W 2
@article{GT_2007_11_1_a9, author = {Doran, Charles and Morgan, John W}, title = {Algebraic topology of {Calabi{\textendash}Yau} threefolds in toric varieties}, journal = {Geometry & topology}, pages = {597--642}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {2007}, doi = {10.2140/gt.2007.11.597}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.597/} }
TY - JOUR AU - Doran, Charles AU - Morgan, John W TI - Algebraic topology of Calabi–Yau threefolds in toric varieties JO - Geometry & topology PY - 2007 SP - 597 EP - 642 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.597/ DO - 10.2140/gt.2007.11.597 ID - GT_2007_11_1_a9 ER -
Doran, Charles; Morgan, John W. Algebraic topology of Calabi–Yau threefolds in toric varieties. Geometry & topology, Tome 11 (2007) no. 1, pp. 597-642. doi : 10.2140/gt.2007.11.597. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.597/
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