Monodromy representations of meromorphic projective structures
Geometric Topology
2019-09-23 v2 Algebraic Geometry
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.
Cite
@article{arxiv.1905.10132,
title = {Monodromy representations of meromorphic projective structures},
author = {Subhojoy Gupta and Mahan Mj},
journal= {arXiv preprint arXiv:1905.10132},
year = {2019}
}
Comments
12 pages, final version, to appear in Proc. AMS