126 citations · 246 across the 53 of their papers we have counts for
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Determinant line bundle on moduli space of parabolic bundles
Indranil Biswas
In \cite{BR1}, \cite{BR2}, a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it. The constructi…
Brauer group of moduli of principal bundles over a curve
Indranil Biswas, Yogish I. Holla
Let be a semisimple linear algebraic group over the field , and let be an irreducible smooth complex projective curve of genus at least three. We compute the Bra…
Stable Higgs bundles on compact Gauduchon manifolds
Indranil Biswas
Let be a compact complex manifold equipped with a Gauduchon metric. If is holomorphically trivial, and (V, θ) is a stable SL(r,{\mathbb C})-Higgs bundle on , then we sh…
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Indranil Biswas, Benjamin McKay
We prove that if a Calabi--Yau manifold admits a holomorphic Cartan geometry, then is covered by a complex torus. This is done by establishing the Bogomolov inequality for…