Cerf theory for graphs

被引：49

作者：

Hatcher, A ^{[1
]}

Vogtmann, K ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1998年 / 58卷

关键词：

D O I：

10.1112/S0024610798006644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group F-n. Applications include a simple geometric proof of stability of the rational homology of Aut(F-n), computations of the rational homology in small dimensions, proofs that various natural complexes of free factorizations of F-n are highly connected, and an improvement on the stability range for the integral homology of Aut(F-n).

引用

页码：633 / 655

页数：23

共 11 条

[1]

Borel A., 1975, Ann. Sci. Ecole Norm. Sup., V4, P235

[2]

Brown K. S., 1982, Cohomology of groups, V87

[3] MODULI OF GRAPHS AND AUTOMORPHISMS OF FREE GROUPS [J].