2015/04/29 by Thomas Hudson, Hudson, Thomas
Mathematics · #Advanced Algebra and Geometry #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.1504.07924
21 pages
arxiv created 2015/04/29 · openalex publication_date 2015/04/29 · arxiv updated 2015/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Under the assumption that the base field k has characteristic 0, we compute the algebraic cobordism fundamental classes of a family of Schubert varieties isomorphic to full and symplectic flag bundles. We use this computation to prove a formula for the push-forward class of the Bott-Samelson resolutions associated to the symplectic flag bundle. We specialise our formula to connective K-theory and the Grothendieck ring of vector bundles, hence obtaining a description for all Schubert classes.