There is a bridge between generic linear Ordinary Differential Equations (ODEs), Schubert Calculus and the bosonic-fermionic representations of the Heisenberg algebra. For a finite-order generic linear ODE, the role of the ...

We describe T-equivariant Schubert calculus on G(k,n), T being an n-dimensional torus, through derivations on the exterior algebra of a free A-module of rank n, where A is the T-equivariant cohomology of a point. In ...

The Schubert derivation is a distinguished Hasse–Schmidt derivation on the exterior algebra of a free abelian group, encoding the formalism of Schubert calculus for all Grassmannians at once. The purpose of this paper is ...

On studying the Grassmanian of lines in projective space and Plücker's Quadric related to it, we noted the presence of interesting congurations of lines. From those congurations, a surface in projective space, the so called ...

The integral singular cohomology ring of the Grassmann variety parametrizing r-dimensional subspaces in the n-dimensional complex vector space is naturally an irreducible representation of the Lie algebra (Formula presented.) ...

The purpose of this Note is to show that loci of (special) Weierstrass points on the fibers of a family pi: X -> S of smooth curves of genus g >= 2 can be studied by simply pulling back the Schubert calculus naturally ...