Dynamics on PSL(2, $\mathbb C$)-character varieties: 3-manifolds with toroidal boundary components

Dynamics on PSL(2, $\mathbb C$)-character varieties: 3-manifolds with toroidal boundary components

Let $M$ be a compact, orientable, hyperbolizable 3-manifold with incompressible boundary which is not an interval bundle. We study the dynamics of the action of Out($\pi_1(M$)) on the relative PSL(2, $\mathbb C$)-character variety $X_T (M)$.

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Veröffentlicht in:Groups, geometry and dynamics geometry and dynamics, 2015-01, Vol.9 (1), p.149-185
Hauptverfasser: Canary, Richard, Magid, Aaron
Format: Artikel
Sprache:eng
Schlagworte:
Groups (Mathematics)
Manifolds (Mathematics)
Manifolds and cell complexes
Mathematical research
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Beschreibung
Zusammenfassung:Let $M$ be a compact, orientable, hyperbolizable 3-manifold with incompressible boundary which is not an interval bundle. We study the dynamics of the action of Out($\pi_1(M$)) on the relative PSL(2, $\mathbb C$)-character variety $X_T (M)$.
ISSN:1661-7207
1661-7215
DOI:10.4171/GGD/309