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Description of moduli space of projective structures via fat graphs

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arxiv hep-th/9312193 v2 pith:5CVUEAEY submitted 1993-12-25 hep-th math.QA

Description of moduli space of projective structures via fat graphs

classification hep-th math.QA
keywords structuresmoduliprojectivespacedecompositionanalogouscellcomplex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $PGL(2,{\bf C})$ flat connections are also described. (in the revised version uuencoded pictures are made printable)

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