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arXiv · 1602.01983

Gysin maps, duality and Schubert classes

Lionel Darondeau·Piotr Pragacz
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Abstract

We establish a Gysin formula for Schubert bundles and a strong version of the duality theorem in Schubert calculus on Grassmann bundles. We then combine them to compute the fundamental classes of Schubert bundles in Grassmann bundles, which yields a new proof of the Giambelli formula for vector bundles.

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Lionel Darondeau, Piotr Pragacz. 2016-02-05. Gysin maps, duality and Schubert classes. https://doi.org/10.4064/fm588-6-2018

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