The symplectic properties of the PGL(n,C)-gluing equations

Stavros Garoufalidis; Christian K. Zickert

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arXiv · 1310.2497

The symplectic properties of the PGL(n,C)-gluing equations

Stavros Garoufalidis·Christian K. Zickert

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Abstract

In a previous article we studied PGL(n,C)-representations of a 3-manifold via a generalization of Thurston's gluing equations. Neumann has proved some symplectic properties of Thurston's gluing equations that play an important role in recent developments of exact and perturbative Chern-Simons theory. In this paper, we prove the symplectic properties of the PGL(n,C)-gluing equations for all ideal triangulations of compact oriented 3-manifolds.

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Stavros Garoufalidis, Christian K. Zickert. 2013-10-09. The symplectic properties of the PGL(n,C)-gluing equations. https://arxiv.org/abs/1310.2497

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