Schubert Calculus via Hasse-Schmidt Derivations
Algebraic Geometry
2007-05-23 v1
Abstract
A natural Hasse-Schmidt derivation on the exterior algebra of a free module realizes the (small quantum) cohomology ring of the grassmannian as a ring of operators on the exterior algebra of a free module of rank . Classical Pieri's formula can be interpreted as Leibniz's rule enjoyed by special Schubert cycles with respect to the wedge product.
Cite
@article{arxiv.math/0504293,
title = {Schubert Calculus via Hasse-Schmidt Derivations},
author = {Letterio Gatto},
journal= {arXiv preprint arXiv:math/0504293},
year = {2007}
}
Comments
To appear on Asian Journal of Mathematics