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math.GT2013
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…
math.GT2013
Meromorphic quadratic differentials with half-plane structures
Subhojoy Gupta
We prove the existence of "half-plane differentials" with prescribed local data on any Riemann surface. These are meromorphic quadratic differentials with higher-order poles which…