9 citations · 14 across the 8 of their papers we have counts for
10 papers
Pullback and direct image of parabolic Higgs bundles and parabolic connections with symplectic and orthogonal structures
David Alfaya, Indranil Biswas, Francois-Xavier Machu
Given a symplectic (respectively, orthogonal) parabolic vector bundle over a compact Riemann surface, we prove that its pullback and direct image through a map between compact Riem…
Equivariant vector bundles over the complex projective line
Indranil Biswas, Francois-Xavier Machu
Let be a finite abelian group acting faithfully on via holomorphic automorphisms. In \cite{DF2} the --equivariant algebraic vector bundles on -…
Connections and genuinely ramified maps of curves
Indranil Biswas, Francois-Xavier Machu, A. J. Parameswaran
Given a singular connection on a vector bundle over an irreducible smooth projective curve , defined over an algebraically closed field, we show that there is a unique m…
Automorphism group of principal bundles, Levi reduction and invariant connections
Indranil Biswas, Francois-Xavier Machu
Let be a compact connected complex manifold and a connected reductive complex affine algebraic group. Let be a holomorphic principal --bundle over and $T\, \su…
On the direct images of parabolic vector bundles and parabolic connections
Indranil Biswas, Francois-Xavier Machu
Let be a finite surjective morphism between smooth complex projective curves, where is irreducible but need not be so. Let be a parabolic vector…
Gromov Witten invariants for maximal parabolic vector bundles over an orbifold
Francois Xavier Machu
We define the Gromov-Witten invariants for the parabolic bundles over an orbifold in various situation. Those bring us to refine this notion to get an accurate computation of t…