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Factorial Schur and Grothendieck polynomials from Bott Samelson varieties

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abstract

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 · 2025-02-06 · conditional · novelty 6.0

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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  • Schubert defects in Lagrangian Grassmannians hep-th · 2025-02-06 · conditional · none · ref 11 · internal anchor

    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.