Thom-Porteous formulas in algebraic cobordism

2012/06/12 by Thomas Hudson, Hudson, Thomas
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT

paper · pdf · doi:10.48550/arxiv.1206.2514

44 pages

arxiv created 2012/06/12 · openalex publication_date 2012/06/12 · arxiv updated 2012/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a formula for the push-forward class of Bott-Samelson resolutions in the algebraic cobordism ring of the flag bundle. We then provide a geometric interpretation to the double beta-polynomials of Fomin and Kirillov by specializing our formula to the case of connected K-theory.

Citations

• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas

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