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arXiv 0812.1602math.DG
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Poisson structures on the Teichmueller space of hyperbolic surfaces with conical points

Gabriele Mondello

备注：
23 pages, 2 figures. Two mistakes in the description of the holonomy map are corrected. Exposition improved and more details added
发表信息：
"In the Tradition of Ahlfors-Bers, V", Contemporary Mathematics, vol. 510, Amer. Math. Soc., Providence, RI, 2010, pp. 307-329
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英文摘要：

In this paper two Poisson structures on the moduli space of hyperbolic surfaces with conical points are compared: the Weil-Petersson one and the ηcoming from the representation variety. We show that they are multiple of each other, if the angles do not exceed 2π. Moreover, we exhibit an explicit formula for ηin terms of hyperbolic lengths of a suitable system of arcs.

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