Segre classes and Kempf-Laksov formula in algebraic 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.

14 pages. The exposition and some arguments have been modified

References in corpus (4)

• Degeneracy Loci Classes in $K$-theory - Determinantal and Pfaffian Formula -
• Chern class formulas for classical-type degeneracy loci
• Universal Gysin formulas for the universal Hall-Littlewood functions
• Kempf-Laksov Schubert classes for even infinitesimal cohomology theories

Cited by in corpus (6)

• Degeneracy Loci Classes in $K$-theory - Determinantal and Pfaffian Formula -
• Free-fermions and skew stable Grothendieck polynomials
• Algebraic Spivak's theorem and applications
• Darondeau-Pragacz formulas in complex cobordism
• Stability of Bott--Samelson Classes in Algebraic Cobordism
• Symplectic and odd orthogonal Pfaffian formulas for algebraic cobordism