Segre classes and Kempf-Laksov formula in algebraic cobordism

TL;DR

This paper explores Segre classes within algebraic cobordism and extends the Kempf-Laksov formula to degeneracy loci classes in the cobordism of Grassmannian bundles, advancing the understanding of intersection theory.

Contribution

It generalizes the Kempf-Laksov formula to algebraic cobordism, providing new tools for studying degeneracy loci in this generalized cohomology theory.

Findings

Generalized Kempf-Laksov formula in algebraic cobordism

New expressions for degeneracy loci classes

Enhanced understanding of intersection theory in cobordism

Abstract

In this paper, we study Segre classes in algebraic cobordism. We also prove a generalization of Kempf-Laksov formula for the degeneracy loci classes in the algebraic cobordism of the Grassmannian bundle.