Factorial Schur and Grothendieck polynomials from Bott Samelson varieties

David Oetjen

Factorial Schur and Grothendieck polynomials from Bott Samelson varieties

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arxiv 2109.10483 v2 pith:G4ZWCCUR submitted 2021-09-22 math.AG

David Oetjen This is my paper · ORCID

classification math.AG

keywords factorialequivariantgrothendieckpolynomialsschubertschurvarietiesalong

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We use Bott-Samelson resolutions of Schubert varieties in Grassmannians along with equiariant localization techniques to show that the factorial Schur functions and the factorial Grothendieck polynomials represent Schubert classes in equivariant cohomology and equivariant K-theory respectively.

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Schubert defects in Lagrangian Grassmannians
hep-th 2025-02 conditional novelty 6.0 of 10

A GLSM defect construction for Schubert cycles in Lagrangian Grassmannians is proposed and checked, with defect indices equal to Schur Q-functions in quantum cohomology and quantum K theory.

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