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

We study here the space of representations of a fundamental group of a3-manifold into PGL(n,C). Thurston, Neumann and Zagier initiated a strategy (inthe case of PGL(2,C)) consisting in: triangulate the manifold, assign shapes toeach pieces and then try to glue back. This leads to the "gluing equations" andthe Neumann-Zagier symplectic space.  Building on the works of Dimofte-Gabella-Goncharov andBergeron-Falbel-Guilloux, we complete the picture in the case of PGL(n,C). Werecover a situation very similar to the case of PGL(2,C). This allows forexample to obtain a combinatorial proof of a local rigidity results for suchrepresentations.

Representations of 3-manifold groups in PGL(n,C) and their restriction to the boundary