Gysin maps, duality and Schubert classes

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.

Version 3: published version

Cited by in corpus (1)

• Integrable models and $K$-theoretic pushforward of Grothendieck classes