English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $\rho$ be a representation of the fundamental group of a puncturedsurface into $\mathrm{PSL}_2 (\mathbb{C})$ that is not Fuchsian. We prove thatthere exists a Fuchsian representation that strictly dominates $\rho$ in thesimple length spectrum, and preserves the boundary lengths. This extends aresult of Gueritaud-Kassel-Wolff to the case of $\mathrm{PSL}_2(\mathbb{C})$-representations. Our proof involves straightening the pleatedplane in $\mathbb{H}^3$ determined by the Fock-Goncharov coordinates of aframed representation, and applying strip-deformations.

Dominating surface-group representations into $\mathrm{PSL}_2 (\mathbb{C})$ in the relative representation variety