Jørgensen's algebraic-geometric limits conjecture
Jørgensen's algebraic-geometric limits conjecture
Let be a finitely generated, torsion-free, non-elementary Kleinian group, and let be a sequence in converging to a representation . Suppose that converges geometrically to a Kleinian group , and that is type-preserving. Jørgensen's conjecture. Then
This conjecture concerns when algebraic and geometric limits agree. The source attributes it to Jørgensen and provides surrounding partial results, but no resolution status for the full statement.
Sources & referencesView supporting material
Primary source
James W. Anderson, “A brief survey of the deformation theory of Kleinian groups”, arXiv:math/9810186 (1998).
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