126 citations · 697 across the 321 of their papers we have counts for
18 papers · 1 filter
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…
Moduli of vortices and Grassmann manifolds
Indranil Biswas, Nuno M. Romão
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target…
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…
Chen-Ruan cohomology of some moduli spaces, II
Indranil Biswas, Mainak Poddar
Let X be a compact connected Riemann surface of genus at least two. Let r be a prime number and ξa holomorphic line bundle on it such that r is not a divisor of degree(ξ). Let {\ma…