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    Title      l  A Thom-Porteous formula for connective K-theory using algebraic cobordism
    Author   l  THOMAS HUDSON
    Date   l  2013-10-02
    Category   l  ASARC-Prepint-13-08
    Download    l 1381192035_0.282135.pdf  
We prove a formula for the push-forward class of Bott-Samelson resolutions in the algebraic
cobordism ring of the ag bundle. We specialise our formula to connective K-theory providing
a geometric interpretation to the double -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.

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