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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Goldman parametrizes the $\mathrm{PSL}_3(\mathbb{R})$-Hitchin component of aclosed oriented hyperbolic surface of genus $g$ by $16g-16$ parameters. Amongthem, $10g-10$ coordinates are canonical. We prove that the$\mathrm{PSL}_3(\mathbb{R})$-Hitchin component equipped with theAtiyah-Bott-Goldman symplectic form admits a global Darboux coordinate systemsuch that the half of its coordinates are canonical Goldman coordinates. Tothis end, we show a version of the action-angle principle and the Zocca-typedecomposition formula for the symplectic form of H. Kim andGuruprasad-Huebschmann-Jeffrey-Weinstein given to symplectic leaves of theHitchin component.

Symplectic coordinates on $\mathrm{PSL}_3(\mathbb{R})$-Hitchin components