126 citations · 286 across the 131 of their papers we have counts for
6 papers · 2 filters
Stable principal bundles and reduction of structure group
Indranil Biswas
Let be a stable principal --bundle over a compact connected Kaehler manifold, where is a connected reductive linear algebraic group defined over the complex numbers. L…
Geometry of moduli spaces of Higgs bundles
Indranil Biswas, Georg Schumacher
We construct a Petersson-Weil type Kähler form on the moduli spaces of Higgs bundles over a compact Kähler manifold. A fiber integral formula for this form is proved, from which it…
On the rational homotopy type of a moduli space of vector bundles over a curve
Indranil Biswas, Vicente Muñoz
We study the rational homotopy of the moduli space of stable vector bundles of rank two and fixed determinant of odd degree over a compact connected Riemann surfac…
Some moduli stacks of symplectic bundles on a curve are rational
Indranil Biswas, Norbert Hoffmann
Let C be a smooth projective curve of genus at least 2 over a field k. Given a line bundle L on C, we consider the moduli stack of rank 2n vector bundles E on C endowed with a nowh…
Comparison of fundamental group schemes of a projective variety and an ample hypersurface
Indranil Biswas, Yogish I. Holla
Let be a smooth projective variety defined over an algebraically closed field, and let be an ample line bundle over . We prove that for any smooth hypersurface on $X…
Monodromy group for a strongly semistable principal bundle over a curve, II
Indranil Biswas, A. J. Parameswaran
Let be a geometrically irreducible smooth projective curve defined over a field . Assume that has a -rational point; fix a -rational point . From these dat…