✦ LIBER ✦

How to construct ideal points of SL2(C) representation spaces of knot groups

✍ Scribed by Tomotada Ohtsuki

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 293 KB
Volume: 93
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00267-8

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✦ Synopsis

An ideal point is a limit of conjugacy classes of representations of the fundamental group Γ of a 3-manifold into SL2(C). Culler and Shalen (1983) studied ideal points by using trees. In this paper we give a method to construct ideal points by making the trees concretely for knot groups Γ . We explain the method by illustrating it for simple three knots.