Endomorphisms and bijections of the character variety χ(F 2 ,SL 2 (C))
نویسندگان
چکیده
منابع مشابه
The Sl(2,c) Character Variety of the One-holed Torus
In this note we announce several results concerning the SL(2, C) character variety X of the one-holed torus. We give a description of the largest open subset XBQ of X on which the mapping class group Γ acts properly discontinuously, in terms of two very simple conditions, and show that a series identity generalizing McShane’s identity for the punctured torus holds for all characters in this sub...
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Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G = 〈x, y |xm = yn〉. We find the geometric description of the character variety X(G) of characters of representations of G into SL(2,C).
متن کاملAnd Sl(2, C)
We construct a simply connected complete bounded mean curvature one surface in the hyperbolic 3-space H. Such a surface in H can be lifted as a complete bounded null curve in SL(2, C). Using a transformation between null curves in C and null curves in SL(2, C), we are able to produce the first examples of complete bounded null curves in C. As an application, we can show the existence of a compl...
متن کاملGeometry of the Sl(3,c)-character Variety of Torus Knots
Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G = 〈x, y |x = y〉. We find the geometric description of the character variety X(G) of characters of representations of G into SL(3,C), GL(3,C) and PGL(3,C).
متن کاملOn the Morgan-shalen Compactification of the Sl(2,c) Character Varieties of Surface Groups
A gauge theoretic description of the Morgan-Shalen compactification of the SL(2, C) character variety of the fundamental group of a hyperbolic surface is given in terms of a natural compactification of the moduli space of Higgs bundles via the Hitchin map.
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ژورنال
عنوان ژورنال: Annales de la Faculté des sciences de Toulouse : Mathématiques
سال: 2020
ISSN: 2258-7519
DOI: 10.5802/afst.1648