There are no primitive Teichm\"uller curves in $\Prym(2,2)$
Julien Boulanger, Sam Freedman
TL;DR
This paper proves the non-existence of primitive Teichmüller curves in the Prym(2,2) moduli space, completing previous research in this area.
Contribution
It provides a complete proof that no primitive Teichmüller curves exist in Prym(2,2), resolving an open question in the field.
Findings
No primitive Teichmüller curves in Prym(2,2)
Completes previous partial results
Advances understanding of Teichmüller dynamics
Abstract
We complete the work of Lanneau and M\"oller to show that there are no primitive Teichm\"uller curves in Prym(2,2).
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Taxonomy
TopicsAnalytic and geometric function theory · Geometric and Algebraic Topology