12 citations · 28 across the 13 of their papers we have counts for
15 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 parab…
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…
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…
Torelli theorem for moduli stacks of vector bundles and principal G-bundles
David Alfaya, Indranil Biswas, Tomás L. Gómez +1
Given any irreducible smooth complex projective curve , of genus at least , consider the moduli stack of vector bundles on of fixed rank and determinant. It is proved tha…
Hitchin map for the moduli space of -modules in positive characteristic
David Alfaya, Christian Pauly
Building on Simpson's original definition over the complex numbers, we introduce the notion of restricted sheaf of rings of differential operators on a variety defined over a f…
Pullback and direct image of parabolic connections and parabolic Higgs bundles
David Alfaya, Indranil Biswas
We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann…
Automorphism group of the moduli space of parabolic vector bundles with fixed degree
David Alfaya
We find all possible isomorphisms and 3-birational maps (i.e., birational maps which induce an isomorphism between open subsets whose respective complements have codimension at lea…
Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces
David Alfaya, André Oliveira
Let be an algebraic Lie algebroid over a smooth projective curve of genus such that is a line bundle whose degree is less than…
Automorphism group of the moduli space of parabolic bundles over a curve
David Alfaya, Tomas L. Gomez
We find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and system of weights). This group is generated by: automorphisms…
Automorphism group of a moduli space of framed bundles over a curve
David Alfaya, Indranil Biswas
Let be a smooth complex projective curve, and let be a point. We compute the automorphism group of the moduli space of framed vector bundles on of rank …
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…
Torelli theorem for the parabolic Deligne-Hitchin moduli space
David Alfaya, Tomas L. Gomez
We prove that, given the isomorphism class of the parabolic Deligne-Hitchin moduli space over a smooth projective curve, we can recover the isomorphism class of the curve and the p…