A Thom-Porteous formula for connective K-theory using algebraic cobordism
Algebraic Geometry
2014-10-29 v1
Abstract
We prove a formula for the push-forward class of Bott-Samelson resolutions in the algebraic cobordism ring of the flag bundle. We specialise our formula to connective K-theory providing a geometric interpretation to the double beta-polynomials of Fomin and Kirillov by computing the fundamental classes of Schubert varieties. As a corollary we obtain a Thom-Porteous formula generalising those of the Chow ring and of the Grothendieck ring of vector bundles.
Cite
@article{arxiv.1310.0895,
title = {A Thom-Porteous formula for connective K-theory using algebraic cobordism},
author = {Thomas Hudson},
journal= {arXiv preprint arXiv:1310.0895},
year = {2014}
}
Comments
20 pages