Pith. sign in

REVIEW 1 cited by

On Seidel representation in quantum K-theory of Grassmannians

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2211.16902 v2 pith:5ISW6ZI7 submitted 2022-11-30 math.AG math.CO

Changzheng Li , Zhaoyang Liu , Jiayu Song , Mingzhi Yang This is my paper · ORCID
classification math.AGmath.CO
keywords quantumk-theorylittlewood-richardsonproofrepresentationruleseidelalternative
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We provide a direct proof of Seidel representation in the quantum K-theory QK(Gr(k, n)) by studying projected Gromov-Witten varieties concretely. As applications, we give an alternative proof of the K-theoretic quantum Pieri rule by Buch and Mihalcea, reduce certain quantum Schubert structure constants of higher degree to classical Littlewood-Richardson coefficients for K(Gr(k, n)), and provide a quantum Littlewood-Richardson rule for QK(Gr(3, n)).

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Toward quantum Pieri rule for $F\ell_n$ via Seidel representation

    math.AG 2025-07 conditional novelty 4.0 of 10

    In quantum cohomology of the complete flag variety, the special Schubert class acts as a cyclic permutation operator with a quantum monomial weight, and the same is conjectured for quantum K-theory.

Pith tools