Speaker: | Catherine Meusburger |
Title: |
Grafting and Poisson structure in (2+1)-gravity with vanishing
cosmological constant |
Abstract: |
The subject of the talk is the relation between the geometrical
construction of (2+1)-dimensional spacetimes via grafting and phase
space and Poisson structure in the Chern-Simons formulation of
(2+1)-dimensional gravity. It discusses how grafting is implemented in
the Chern-Simons formalism and how it gives rise to a transformation on
the phase space. This transformation is generated via the Poisson
bracket by a gauge invariant observable associated to certain curves in
the spacetime. Furthermore, it can be shown that this grafting
transformation is closely related to the action of Dehn twists.
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Talk: |
Transparencies, Recorded Talk
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