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math.DG2023
On the monodromy of holomorphic differential systems
Indranil Biswas, Sorin Dumitrescu, Lynn Heller +2
First we survey and explain the strategy of some recent results that construct holomorphic -differential systems over some Riemann surfaces of genus…
math.DG2023
Holomorphic Higgs bundles over the Teichmüller space
Indranil Biswas, Lynn Heller, Sebastian Heller
We study which representations of the fundamental group of a compact oriented surface admit Higgs data that depend holomorphically on the Riemann surface …
math.AG2023
Parabolic opers and differential operators
Indranil Biswas, Niels Borne, Sorin Dumitrescu +2
Parabolic SL(r,C)-opers were defined and investigated in [BDP] in the set-up of vector bundles on curves with a parabolic structure over a divisor. Here we introduce and study holo…