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Quantum Pieri rules for isotropic Grassmannians

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arxiv 0809.4966 v1 pith:JQVSJZN5 submitted 2008-09-29 math.AG

Anders S. Buch , Andrew Kresch , Harry Tamvakis This is my paper · ORCID
classification math.AG
keywords schubertclasscohomologygivegrassmanniansisotropicpieriquantum
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We study the three point genus zero Gromov-Witten invariants on the Grassmannians which parametrize non-maximal isotropic subspaces in a vector space equipped with a nondegenerate symmetric or skew-symmetric form. We establish Pieri rules for the classical cohomology and the small quantum cohomology ring of these varieties, which give a combinatorial formula for the product of any Schubert class with certain special Schubert classes. We also give presentations of these rings, with integer coefficients, in terms of special Schubert class generators and relations.

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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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