Affine Laumon space and contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$

Che Shen

Affine Laumon space and contragredient dual Verma module of U_q(widehat{mathfrak{gl}_n})

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 2402.08613 v3 pith:X7P3KHCI submitted 2024-02-13 math.RT

Affine Laumon space and contragredient dual Verma module of U_q(widehat{mathfrak{gl}_n})

Che Shen This is my paper

classification math.RT

keywords mathfrakwidehataffinecontragredientduallaumonmoduleverma

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We study the action of the quantum group $U_q(\widehat{\mathfrak{gl}_n})$ on the equivariant K-theory of affine Laumon spaces. We show that, at any highest weight away from the critical level, this can be identified with the contragredient dual Verma module of $U_q(\widehat{\mathfrak{gl}_n})$, improving earlier results of Braverman-Finkelberg and Negu{\c{t}}. The proof uses a variant of stable envelopes first introduced by Maulik-Okounkov in the study of Nakajima quiver varieties.

discussion (0)

Forward citations

Cited by 1 Pith paper

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

Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights
math.RT 2026-07 accept novelty 6.5

Irreducible affine gl_n-modules with dominant highest weights become thin Yangian modules via restriction of periodic Gelfand-Tsetlin patterns to a permitted subset.