Monodromy representations of meromorphic projective structures

Gupta, Subhojoy; Mj, Mahan

doi:10.1090/proc/14866

Monodromy representations of meromorphic projective structures
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by Subhojoy Gupta and Mahan Mj PDF

Proc. Amer. Math. Soc. 148 (2020), 2069-2078 Request permission

Abstract:

We determine the image of the monodromy map for meromorphic projective structures with poles of orders greater than two. This proves the analogue of a theorem of Gallo-Kapovich-Marden and answers a question of Allegretti and Bridgeland in this case. Our proof uses coordinates on the moduli space of framed representations arising from the work of Fock and Goncharov.

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