1 citations · 1 across the 6 of their papers we have counts for
6 papers · 1 filter
On Cachazo-Douglas-Seiberg-Witten conjecture for simple Lie algebras
Shrawan Kumar
We give a uniform proof of a significant part of the Cachazo-Douglas-Seiberg-Witten conjecture by using topology and geometry of infinite Grassmannians.
Explicit Determination of the Picard Group of Moduli Spaces of Semi-Stable G-Bundles on Curves
Arzu Boysal, Shrawan Kumar
Let be a smooth irreducible projective curve over the complex numbers and let be a simple simply-connected complex algebraic group. Let $\mathfrak M=\mathfrak M(G,…
Equivariant analogue of Grothendieck's theorem for vector bundles on
Shrawan Kumar
We prove an equivariant analogue of Grothendieck's theorem for vector bundles on the one dimensional projective space over complex numbers.
A new realization of the cohomology of Springer fibers
Shrawan Kumar, Jesper Funch Thomsen
In this note we give a geometric realization of the cohomology of Springer fibers in type A. More precisely, we describe the cohomology by the coordinate ring of a scheme theoretic…
A conjectural generalization of n! result to arbitrary groups
Shrawan Kumar, Jesper Funch Thomsen
We relate the n! conjecture (by Garsia and Haiman) to the geometry of principal nilpotent pairs, and state a conjecture generalizing the n! conjecture to arbitrary semisimple algeb…
Frobenius splitting of Hilbert schemes of points on surfaces
Shrawan Kumar, Jesper Funch Thomsen
Let X be a quasiprojective smooth surface defined over an algebraically closed field of positive characteristic. We show that if X is Frobenius split then so is the Hilbert scheme…