7 papers
A criterion for parabolic vector bundles to admit a parabolic Lie algebroid connection
David Alfaya, Ashima Bansal, Indranil Biswas +1
Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a parabolic vector bundle on , with para…
Parabolic vector bundles and Lie algebroid connections
David Alfaya, Indranil Biswas, Pradip Kumar +1
Given a holomorphic Lie algebroid on an m-pointed Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure ov…
Isomorphisms between moduli stacks of vector bundles with fixed determinant
David Alfaya, Indranil Biswas, Tomás L. Gómez
We classify all isomorphisms between moduli stacks of vector bundles of fixed determinant on a smooth complex projective of genus at least 4. It is shown that each isomorphism betw…
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…
A criterion for holomorphic Lie algebroid connections
David Alfaya, Indranil Biswas, Pradip Kumar +1
Given a holomorphic Lie algebroid on a compact connected Riemann surface , we give a necessary and sufficient condition for a holomorphic vector bundle on to a…
Remarks on Higgs bundles twisted by a vector bundle
David Alfaya, Indranil Biswas, Pradip Kumar
For any V-twisted Higgs bundle on a compact Riemann surface X, where V is a holomorphic vector bundle of rank two on X, there are two associated Higgs bundles on X, twisted by line…