Bers slices are Zariski dense
David Dumas, Richard P. Kent IV
TL;DR
This paper proves that all Bers slices within quasi-Fuchsian space are densely embedded in the character variety when considering the Zariski topology, revealing their extensive algebraic complexity.
Contribution
It establishes the Zariski density of Bers slices in the character variety, a result previously unconfirmed.
Findings
Bers slices are Zariski dense in the character variety
The result applies to all Bers slices within quasi-Fuchsian space
Enhances understanding of the algebraic structure of deformation spaces
Abstract
We prove that every Bers slice of quasi-Fuchsian space is Zariski dense in the character variety.
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