Gysin maps, duality and Schubert classes
Algebraic Geometry
2020-09-03 v3 Algebraic Topology
Combinatorics
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.
Cite
@article{arxiv.1602.01983,
title = {Gysin maps, duality and Schubert classes},
author = {Lionel Darondeau and Piotr Pragacz},
journal= {arXiv preprint arXiv:1602.01983},
year = {2020}
}
Comments
Version 3: published version