7 papers
Torsors on moduli spaces of principal -bundles
Indranil Biswas, Swarnava Mukhopadhyay
Let be a semisimple complex algebraic group with a simple Lie algebra , and let denote the moduli stack of topologically trivial stable -bu…
Motivic factorisation of KZ local systems and deformations of representation and fusion rings
Prakash Belkale, Najmuddin Fakhruddin, Swarnava Mukhopadhyay
Let be a simple Lie algebra over . The KZ connection is a connection on the constant bundle associated to a set of finite dimensional irreducible rep…
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…
A parabolic analog of a theorem of Beilinson and Schechtman
Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
For a simple, simply connected, complex group G, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of…
Spectral data for spin Higgs bundles
Swarnava Mukhopadhyay, Richard Wentworth
In this paper we determine the spectral data parametrizing Higgs bundles in a generic fiber of the Hitchin map for the case where the structure group is the special Clifford group…
Admissible subcategories in derived categories of moduli of vector bundles on curves
Pieter Belmans, Swarnava Mukhopadhyay
We show that the Poincaré bundle gives a fully faithful embedding from the derived category of a curve of sufficiently high genus into the derived category of its moduli space of b…