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Deformations of dihedral representations |
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| Authors: | Michael Heusener Eric Klassen |
| Affiliation: | Uni--GH--Siegen Fachbereich Mathematik Hölderlinstraße 3 57068 Siegen Germany ; Department of Mathematics Florida State University Tallahassee Florida 32306 |
| Abstract: | G. Burde proved (1990) that the  representation space of two-bridge knot groups is one-dimensional. The same holds for all torus knot groups. The aim of this note is to prove the following: Given a knot  we denote by  its twofold branched covering space. Assume that there is a prime number  such that  . Then there exist representations of the knot group onto the binary dihedral group  and these representations are smooth points on a one-dimensional curve of representations into  . |
| Keywords: | Knot groups group representations $SU$ |
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