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/

Zendy Plus

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

Zendy Tools

Zendy Open

We construct an Ahlfors-Bers complex analytic model for the Teichm\"ullerspace of the universal hyperbolic lamination (also known as Sullivan'sTeichm\"uller space) and the renormalized Weil-Petersson metric on it as anextension of the usual one. In this setting, we prove that Sullivan'sTeichm\"uller space is K\"ahler isometric biholomorphic to the space ofcontinuous functions from the profinite completion of the fundamental group ofa compact Riemann surface of genus greater than or equal to two to theTeichm\"uller space of this surface; i.e. We find natural K\"ahler coordinatesfor the Sullivan's Teichm\"uller space. This is the main result. As acorollary, we show the expected fact that the Nag-Verjovsky embedding istransversal to the Sullivan's Teichm\"uller space contained in the universalone.

Teichm\"uller theory of the universal hyperbolic lamination