126 citations · 697 across the 321 of their papers we have counts for
15 papers · 2 filters
Involutions of the moduli spaces of -Higgs bundles over elliptic curves
Indranil Biswas, Luis Angel Calvo, Emilio Franco +1
We present a systematic study of involutions on the moduli space of -Higgs bundles over an elliptic curve , where is complex reductive affine algebraic group. The fixed p…
Direct image of parabolic line bundles
Robert Auffarth, Indranil Biswas
Given a vector bundle on an irreducible projective variety we give a necessary and sufficient criterion for to be a direct image of a line bundle under an étale morphis…
Hodge locus and Brill-Noether type locus
Indranil Biswas, Ananyo Dan
Given a family $π:\mc{X} \rightarrow B$ of smooth projective varieties, a closed fiber $\mc{X}_o$ and an invertible sheaf $\mc{L}$ on $\mc{X}_o$, we compare the Hodge locus in …
Brauer group of moduli of Higgs bundles and connections
David Baraglia, Indranil Biswas, Laura P. Schaposnik
Given a compact Riemann surface and a semisimple affine algebraic group defined over , there are moduli spaces of Higgs bundles and of connections associated to…
Fundamental group of moduli of principal bundles on curves
Indranil Biswas, Swarnava Mukhopadhyay, Arjun Paul
Let be a compact connected Riemann surface of genus at least two, and let be a connected semisimple affine algebraic group defined over . For any $δ\in π_1({G}…
A Tannakian approach to dimensional reduction of principal bundles
Luis Álvarez-Cónsul, Indranil Biswas, Oscar García-Prada
Let be a parabolic subgroup of a connected simply connected complex semisimple Lie group . Given a compact Kähler manifold , the dimensional reduction of -equivariant…