Sara Maloni

  1. Top terms of polynomial traces in Kra's plumbing construction.

    Authors: Sara Maloni, Caroline Series
    Subjects: General Topology
    Abstract

    Let S be a surface of negative Euler characteristic together with a pants
    decomposition P. Kra's plumbing construction endows S with a projective
    structure as follows. Replace each pair of pants by a triply punctured sphere
    and glue, or `plumb', adjacent pants by gluing punctured disk neighbourhoods of
    the punctures. The gluing across the $i^{th}$ pants curve is defined by a
    complex parameter t_i in C. The associated holonomy representation \rho:
    \pi_1(S) \to PSL(2,C) gives a projective structure on S which depends
    holomorphically on the t_i.

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