1 citations · 1 across the 6 of their papers we have counts for
9 papers
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,…
Induction Functor in Non-commutative Equivariant Cohomology and Dirac Cohomology
Shrawan Kumar
The aim of this paper is to put some recent results of Huang-Pandzic (conjectured by Vogan) and Kostant on Dirac cohomology in a broader perspective.This is achieved by introducing…
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.
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type
Shrawan Kumar, Bernhard Leeb, John J. Millson
We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges.
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…