Schubert Calculus via Hasse-Schmidt Derivations

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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.
To appear on Asian Journal of Mathematics

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Algebraic Geometry, 14M15; 14N15

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http://salesiana.dossiersoluciones.com/handle/123456789/74899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504293
 http://arxiv.org/abs/math/0504293

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arXiv