Algebraic topology of Calabi-Yau threefolds in toric varieties

被引:6
作者
Doran, Charles F. [1 ]
Morgan, John W. [2 ]
机构
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
关键词
D O I
10.2140/gt.2007.11.597
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:597 / 642
页数:46
相关论文
共 12 条
[1]  
Batyrev V.V., 2006, AMS IP STUD ADV MATH, V38, P255
[2]  
Batyrev V. V., 1994, J ALGEBRAIC GEOM, V3, P493
[3]  
BATYREV VV, 1996, CALABI YAU COMPLETE, P39
[4]  
COX DA, 1999, MATH SURVEYS MONOGRA, V68, DOI DOI 10.1090/SURV/068
[5]  
DANILOV VI, 1987, MATH USSSR IZV, V50, P925
[6]  
DELIGNE P., 1974, THEORIE HODGE, P5
[7]  
Doran C. F., 2006, AMS IP STUD ADV MATH, VV, P517
[8]  
Fulton W., 1993, Annals of Mathematics Studies, V131, DOI DOI 10.1515/9781400882526
[9]  
Gelfand I. M., 1994, MATH THEORY APPL
[10]  
Hovanskii A. G., 1978, Funktsional. Anal. i Prilozhen, V12, P51, DOI 10.1007/BF01077562