English

Universal Gysin formulas for flag bundles

Algebraic Geometry 2016-07-20 v4 Algebraic Topology

Abstract

We give push-forward formulas for all flag bundles of types A, B, C, D. The formulas (and also the proofs) involve only Segre classes of the original vector bundles and characteristic classes of universal bundles. As an application, we provide new determinantal formulas.

Keywords

Cite

@article{arxiv.1510.07852,
  title  = {Universal Gysin formulas for flag bundles},
  author = {Lionel Darondeau and Piotr Pragacz},
  journal= {arXiv preprint arXiv:1510.07852},
  year   = {2016}
}

Comments

v. 4, 16 pages, rewritten version with reverse order of roots

R2 v1 2026-06-22T11:29:53.603Z