Pith. sign in

REVIEW 1 cited by

Nakajima's creation operators and the Kirwan map

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 2304.07241 v3 pith:B56EXMHX submitted 2023-04-14 math.AG

Nakajima's creation operators and the Kirwan map

Jakub Koncki , Magdalena Zielenkiewicz This is my paper
classification math.AG
keywords creationnakajimaoperatorskirwanactionaffinebundlechern
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima's creation operators and their K-theoretic counterparts in terms of the Kirwan map. We obtain a description of the action of Nakajima's creation operators on the Chern classes of the tautological bundle.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

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

  1. Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points

    math.AG 2026-06 unverdicted novelty 6.0

    Derives the tangent space as a compatibility kernel and a modified arm-leg weight formula at torus-fixed points of (A^2)^[n,n+1] indexed by partitions with removable corners, with Macaulay2 checks up to size 16.