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The moduli space of a punctured surface and perturbative series

The moduli space of a punctured surface and perturbative series

Introduction.Let F 8 denote the oriented genus g surface with s punctures, 2g -2 + s>0, s>l, and choose a distinguished puncture P of F*.Let Tg be the Teichmüller space of conformai classes of complete finitearea metrics on F* (see [A]), and let MC 9 g denote the mapping class …