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math.GT2019
Monodromy representations of meromorphic projective structures
Subhojoy Gupta, Mahan Mj
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-Mar…
math.GT2019
Meromorphic projective structures, grafting and the monodromy map
Subhojoy Gupta, Mahan Mj
A meromorphic projective structure on a punctured Riemann surface is determined, after fixing a standard projective structure on , by a meromorphic quadratic diff…
math.GT2019
Holomorphic quadratic differentials in Teichmüller theory
Subhojoy Gupta
This expository survey describes how holomorphic quadratic differentials arise in several aspects of Teichmüller theory, highlighting their relation with various geometric structur…