Schubert calculus for algebraic cobordism
Jens Hornbostel, Valentina Kiritchenko
TL;DR
This paper develops a Schubert calculus framework within the algebraic cobordism ring of a complete flag variety, enabling new computational tools for algebraic geometry.
Contribution
It introduces a Schubert calculus specifically tailored for Bott-Samelson resolutions in algebraic cobordism, a novel approach in the field.
Findings
Established Schubert calculus for Bott-Samelson resolutions
Extended algebraic cobordism ring computations to flag varieties
Provided new methods for intersection theory in algebraic cobordism
Abstract
We establish a Schubert calculus for Bott-Samelson resolutions in the algebraic cobordism ring of a complete flag variety G/B.
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