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Grothendieck classes of quiver cycles as iterated residues

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arxiv 1310.3548 v1 pith:L7NUCE5N submitted 2013-10-14 math.AG math.COmath.RT

Justin Allman This is my paper · ORCID
classification math.AGmath.COmath.RT
keywords grothendieckiteratedquivercertaincoefficientsrationalresiduescase
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In the case of Dynkin quivers we establish a formula for the Grothendieck class of a quiver cycle as the iterated residue of a certain rational function, for which we provide an explicit combinatorial construction. Moreover, we utilize a new definition of the double stable Grothendieck polynomials due to Rimanyi and Szenes in terms of iterated residues to exhibit how the computation of quiver coefficients can be reduced to computing coefficients in Laurent expansions of certain rational functions.

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  1. 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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