5 papers
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 ad…
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…
Moduli space of parabolic -modules over a curve
David Alfaya
Simpson, in 1994, introduced the notion of -modules and constructed the corresponding moduli space, where is a sheaf of rings of differential operators. Higgs bundles, conne…