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Factorial P- and Q-Schur functions represent equivariant quantum Schubert classes

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arxiv 1402.0892 v2 pith:4MVAUDTJ submitted 2014-02-04 math.CO math.AG

Takeshi Ikeda , Leonardo C. Mihalcea , Hiroshi Naruse This is my paper · ORCID
classification math.COmath.AG
keywords classesequivariantcohomologyfactorialfindformulasfunctionspfaffian
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abstract

We find presentations by generators and relations for the equivariant quantum cohomology rings of the maximal isotropic Grassmannians of types B,C and D, and we find polynomial representatives for the Schubert classes in these rings. These representatives are given in terms of the same Pfaffian formulas which appear in the theory of factorial $P$- and $Q$-Schur functions. After specializing to equivariant cohomology, we interpret the resulting presentations and Pfaffian formulas in terms of Chern classes of tautological bundles.

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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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