RANK INEQUALITIES FOR THE HEEGAARD FLOER HOMOLOGY OF SEIFERT HOMOLOGY SPHERES

被引：0
|
作者：
Karakurt, Cagri [1 ]
Lidman, Tye [1 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 10期
基金：
美国国家科学基金会;
关键词：
Heegard Floer homology; Seifert homology sphere; graded root; numerical semigroup; degree; botany; HOLOMORPHIC DISKS; PLUMBED; 3-MANIFOLDS; CASSON INVARIANT; MAPS; SINGULARITIES; 4-MANIFOLDS; MANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish three rank inequalities for the reduced flavor of Heegaard Floer homology of Seifert fibered integer homology spheres. Combining these inequalities with the known classifications of non-zero degree maps between Seifert fibered spaces, we prove that a map f : Y' -> Y between Seifert homology spheres yields the inequality |deg f| rankHF(red)(Y') <= rankHFred(Y'). These inequalities are also applied in conjunction with an algorithm of Nemethi to give a method to solve the botany problem for the Heegaard Floer homology of these manifolds.
引用
收藏
页码：7291 / 7322
页数：32
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