The variety of characters in PSL2(C)

被引：0

作者：

Heusener, M ^{[1
]}

Porti, J ^{[1
]}

机构：

[1] Univ Clermont Ferrand, CNRS, UMR 6620, Math Lab, F-63177 Clermont Ferrand, France

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2004年 / 10卷

关键词：

representation spaces; variety of characters; PSL2(C);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some basic proper-ties of the variety of characters in PSL2(C) of a finitely generated group. In particular we give an interpretation of its points as characters of representations. We construct 3-manifolds whose variety of characters has arbitrarily many components that do not lift to SL2(C). We also study the singular locus of the variety of characters of a free group.

引用

页码：221 / 237

页数：17

共 17 条

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