Monodromy representations of meromorphic projective structures

Subhojoy Gupta; Mahan Mj

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arXiv · 1905.10132

Monodromy representations of meromorphic projective structures

Subhojoy Gupta·Mahan Mj

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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. Our proof uses coordinates on the moduli space of framed representations arising from the work of Fock and Goncharov.

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Subhojoy Gupta, Mahan Mj. 2019-05-24. Monodromy representations of meromorphic projective structures. https://arxiv.org/abs/1905.10132

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