Homology of tree braid groups

被引：0
|
作者：
Farley, D [1 ]
机构：
[1] Univ Illinois, Dept Math, Champaign, IL 61820 USA
来源：
Topological and Asymptotic Aspects of Group Theory | 2006年 / 394卷
关键词：
tree braid groups; homology groups; configuration spaces; discrete Morse theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The braid group on n-strands of a tree T, denoted BnT, has free abelian integral homology groups in every dimension. The rank of H-i (BnT) is equal to the number of i-cells in (UCT)-T-n, the unlabelled configuration space of n points on T, which are critical with respect to a certain discrete Morse function.
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页码：101 / 112
页数：12
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