126 citations · 697 across the 321 of their papers we have counts for
13 papers · 2 filters
Yang-Mills-Higgs connections on Calabi-Yau manifolds
Indranil Biswas, Ugo Bruzzo, Beatriz Graña Otero +1
Let be a compact connected Kähler--Einstein manifold with . If there is a semistable Higgs vector bundle on with , then we show t…
Integrable systems and Torelli theorems for the moduli spaces of parabolic bundles and parabolic Higgs bundles
Indranil Biswas, Tomás L. Gómez, Marina Logares
We prove a Torelli theorem for the moduli space of semistable parabolic Higgs bundles over a smooth complex projective algebraic curve under the assumption that the parabolic weigh…
On the Gieseker Harder-Narasimhan filtration for principal bundles
Indranil Biswas, Alfonso Zamora
We give an example of an orthogonal bundle where the Harder-Narasimhan filtration, with respect to Gieseker semistability, of its underlying vector bundle does not correspond to an…
Fundamental group of a geometric invariant theoretic quotient
Indranil Biswas, Amit Hogadi, A. J. Parameswaran
Let be an irreducible smooth projective variety, defined over an algebraically closed field, equipped with an action of a connected reductive affine algebraic group , and le…
A generalized Quot scheme and meromorphic vortices
Indranil Biswas, Ajneet Dhillon, Jacques Hurtubise +1
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers d_p and d_z. Consider all pairs of the form (F, f), where F is a holomorphic vec…
Poisson surfaces and algebraically completely integrable systems
Indranil Biswas, Jacques Hurtubise
One can associate to many of the well known algebraically integrable systems of Jacobians (generalized Hitchin systems, Sklyanin) a ruled surface which encodes much of its geometry…