Description of moduli space of projective structures via fat graphs

Abstract

We give an elementary explicit construction of cell decomposition of the moduli space of projective structures on a two dimensional surface analogous to the decomposition of Penner/Strebel for moduli space of complex structures. The relations between projective structures and $PGL(2,\mathbf{C})$ flat connections are also described. (in the revised version uuencoded pictures are made printable)

17 pages, 11 pictures (included)

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