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arXiv · hep-th/9612219

Higher Topologies in 2+1-Gravity

Marcello Ciafaloni
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Abstract

I argue that the first-order formalism recently found to describe classical 2+1-Gravity with matter, is also able to include higher topologies. The present gauge, which is conformal with vanishing York time, is characterized by an analytic mapping from single-valued coordinates to Minkowskian ones. In the torus case, this mapping is based on four square-root branch points, whose location is related to the modulus, which has a well defined time dependence. In the general case, it is connected with the hyperelliptic representation of Riemann surfaces.

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Marcello Ciafaloni. 1996-12-21. Higher Topologies in 2+1-Gravity. https://arxiv.org/abs/hep-th/9612219

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