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math.DG2018
Limits of harmonic maps and crowned hyperbolic surfaces
Subhojoy Gupta
We consider harmonic diffeomorphisms to a fixed hyperbolic target , from a family of domain Riemann surfaces degenerating along a Teichmüller ray. We use the work of Minsky to s…
math.DG2017
Harmonic maps and wild Teichmüller spaces
Subhojoy Gupta
We use meromorphic quadratic differentials with higher order poles to parametrize the Teichmüller space of crowned hyperbolic surfaces. Such a surface is obtained on uniformizing a…
math.DG2015★ 2 cited
Quadratic differentials, half-plane structures, and harmonic maps to graphs
Subhojoy Gupta, Michael Wolf
Let be a pointed Riemann surface of genus . For any integer , we parametrize the space of meromorphic quadratic differentials on with a pole of order…