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Abstract

We give concrete coordinates on the variety of parabolic representations
of a 3-manifold group into SL(n, C). Using these coordinates, we give a
concrete dilogarithmic formula for the volume and Chern-Simons invariant
of such representations. The coordinates are inspired by coordinates on
higher Teichmu�ｿｽNller spaces due to Fock and Goncharov.

�ｿｽ�ｿｽ�ｿｽH�ｿｽw�ｿｽ�ｿｽ�ｿｽﾖのア�ｿｽN�ｿｽZ�ｿｽX�ｿｽC51�ｿｽ�ｿｽ�ｿｽﾙの位置�ｿｽ�ｿｽ
http://www.sci.waseda.ac.jp/campus
�ｿｽ�ｿｽ�ｿｽQ�ｿｽﾆゑｿｽ�ｿｽﾄゑｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽD

For access, see here.

�ｿｽF�ｿｽl�ｿｽﾌゑｿｽ�ｿｽz�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽ�ｿｽﾒゑｿｽ�ｿｽ�ｿｽ�ｿｽﾄゑｿｽ�ｿｽ�ｿｽﾜゑｿｽ�ｿｽD

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