Gysin maps, duality, and Schubert classes
Volume 244 / 2019
Fundamenta Mathematicae 244 (2019), 191-208
MSC: 14C17, 14M15, 14N15, 05E05.
DOI: 10.4064/fm588-6-2018
Published online: 25 October 2018
Abstract
We establish a Gysin formula for Kempf–Laksov flag bundles and we prove a duality theorem for Grassmann bundles. We then combine them to study Schubert bundles, their push-forwards and fundamental classes.