2 citations · 2 across the 4 of their papers we have counts for
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Dominating surface-group representations into in the relative representation variety
Subhojoy Gupta, Weixu Su
Let be a representation of the fundamental group of a punctured surface into that is not Fuchsian. We prove that there exists a Fuchsian represent…
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…
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…
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…
Quadratic differentials, measured foliations and metric graphs on punctured surfaces
Kealey Dias, Subhojoy Gupta, Maria Trnkova
A meromorphic quadratic differential on a punctured Riemann surface induces horizontal and vertical measured foliations with pole-singularities. In a neighborhood of a pole such a…
Conformal limits of grafting and Teichmüller rays and their asymptoticity
Subhojoy Gupta
We show that any grafting ray in Teichmüller space is (strongly) asymptotic to some Teichmüller geodesic ray. As an intermediate step we introduce surfaces that arise as limits of…