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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the formulation of (2+1)-dimensional gravity as a Chern-Simons gaugetheory, the phase space is the moduli space of flat Poincar\'e groupconnections. Using the combinatorial approach developed by Fock and Rosly, wegive an explicit description of the phase space and its Poisson structure forthe general case of a genus g oriented surface with punctures representingparticles and a boundary playing the role of spatial infinity. We give aphysical interpretation and explain how the degrees of freedom associated witheach handle and each particle can be decoupled. The symmetry group of thetheory combines an action of the mapping class group with asymptotic Poincar\'etransformations in a non-trivial fashion. We derive the conserved quantitiesassociated to the latter and show that the mapping class group of the surfaceacts on the phase space via Poisson isomorphisms.Comment: 49 pages amslatex, 7 eps figure

Poisson structure and symmetry in the Chern–Simons formulation of (2 1)-dimensional gravity