Friedl, Stefan and Heusener, Michael (2018) On high-dimensional representations of knot groups. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 18 (1). pp. 313-332. ISSN 1472-2739,
Full text not available from this repository. (Request a copy)Abstract
Given a hyperbolic knot K and any n >= 2 the abelian representations and the holonomy representation each give rise to an (n-1)-dimensional component in the SL (n, C)-character variety. A component of the SL (n, C)-character variety of dimension >= n is called high-dimensional. It was proved by D Cooper and D Long that there exist hyperbolic knots with high-dimensional components in the SL (2, C)-character variety. We show that given any nontrivial knot K and sufficiently large n the SL (n, C)-character variety of K admits high-dimensional components.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 3-MANIFOLDS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Mar 2020 08:26 |
| Last Modified: | 24 Mar 2020 08:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15437 |
Actions (login required)
 |
View Item |
