Sasaki-Einstein 7-Manifolds, Orlik Polynomials and Homology

被引：3
|
作者：
Gomez, Ralph R. [1 ]
机构：
[1] Swarthmore Coll, Dept Math & Stat, Swarthmore, PA 19081 USA
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 07期
关键词：
Sasaki-Einstein; Kahler; 2; orbifolds; links; METRICS;
D O I：
10.3390/sym11070947
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, we give ten examples of 2-connected seven dimensional Sasaki-Einstein manifolds for which the third homology group is completely determined. Using the Boyer-Galicki construction of links over particular Kahler-Einstein orbifolds, we apply a valid case of Orlik's conjecture to the links so that one is able to explicitly determine the entire third integral homology group. We give ten such new examples, all of which have the third Betti number satisfy 10 <= b(3) (L-f) <= 20.
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页数：5
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