Pith. sign in

REVIEW 2 cited by

The equivariant Gromov-Witten theory of P^1

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 math/0207233 v1 pith:XDW422FM submitted 2002-07-25 math.AG hep-thmath-phmath.MP

Andrei Okounkov , Rahul Pandharipande This is my paper · ORCID
classification math.AGhep-thmath-phmath.MP
keywords equivariantgromov-wittentheoryactingconsequencecurvesdevotedelements
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We express all equivariant Gromov-Witten invariants of the projective line as matrix elements of explicit operators acting in the Fock space. As a consequence, we prove the equivariant theory is governed by the 2-Toda hierarchy of Ueno and Takasaki. This is the second in a sequence of three papers devoted to the Gromov-Witten theory of nonsingular target curves (the first paper of the series is math.AG/0204305).

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. The String Dual to Two-dimensional Yang-Mills Theory Revisited

    hep-th 2025-02 conditional novelty 6.0 of 10

    Chiral two-dimensional Yang-Mills theory at large N is proposed to be dual to a stationary subsector of Gromov-Witten theory deformed by an area-dependent transposition interaction and an Omega-point compactification ...

  2. Equivariant Interpolations in Topological Holography

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Ja...

Pith tools