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.
References
Primary source
James W. Anderson, “A brief survey of the deformation theory of Kleinian groups”, arXiv:math/9810186 (1998).
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