Schubert Calculus via Hasse-Schmidt Derivations

Details Schubert Calculus via Hasse-Schmidt Derivations Schubert Calculus via Hasse-Schmidt Derivations

2005-04-14

arxiv.org/abs/math/0504293v1

Mathematics

Algebraic Geometry

To appear on Asian Journal of Mathematics

Scientific paper

A natural Hasse-Schmidt derivation on the exterior algebra of a free module
realizes the (small quantum) cohomology ring of the grassmannian $G_k(\CC^n)$
as a ring of operators on the exterior algebra of a free module of rank $n$.
Classical Pieri's formula can be interpreted as Leibniz's rule enjoyed by
special Schubert cycles with respect to the wedge product.

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