In this paper two Poisson structures on the moduli space of hyperbolic surfaces with conical points are compared: the Weil-Petersson one and the eta coming from the representation variety. We show that they are multiple of each other, if the angles do not exceed 2 pi. Moreover, we exhibit an explicit formula for eta in terms of hyperbolic lengths of a suitable system of arcs.
Poisson structures on the Teichmuller space of hyperbolic surfaces with conical points / Mondello, Gabriele. - STAMPA. - 510(2010), pp. 307-329. (( 4th Ahlfors-Bers Colloquium Newark, NJ MAY 08-11, 2008. - CONTEMPORARY MATHEMATICS. [10.1090/conm/510/10030].
Poisson structures on the Teichmuller space of hyperbolic surfaces with conical points
MONDELLO, GABRIELE
2010
Abstract
In this paper two Poisson structures on the moduli space of hyperbolic surfaces with conical points are compared: the Weil-Petersson one and the eta coming from the representation variety. We show that they are multiple of each other, if the angles do not exceed 2 pi. Moreover, we exhibit an explicit formula for eta in terms of hyperbolic lengths of a suitable system of arcs.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
