11 papers
Positive Cones of the Projectivization of a parabolic vector bundle and Their Products over a Curve
Ashima Bansal, Indranil Biswas, Souradeep Majumder
We compute the positive cones of the projectivization of a parabolic vector bundle and the fiber product of two parabolic projective bundles over a smooth complex projective curve.…
On positive cones of finite quotients of a normal variety
Ashima Bansal, Indranil Biswas, Souradeep Majumder
We study positivity properties of finite flat quotients of normal projective varieties. We show that the numerical groups and positive cones of these quotient varieties are related…
Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
Indranil Biswas, Satyajit Guin, Pradip Kumar
We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…
Symplectic structure on the character varieties of Sasakian threefolds
Indranil Biswas, Ambar N. Sengupta
Take a compact Sasakian threefold and consider the associated irreducible -character variety ${\mathcal R} := \text{Hom}(Ï_1(M, x_0), \text{SL}(r, {\…
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…
Direct image and pullback of Parabolic vector bundles
Indranil Biswas, Chandranandan Gangopadhyay
Niels Borne established a natural correspondence between the parabolic vector bundles on curves and vector bundles on root stacks. The notions of direct image of parabolic vector b…