Toda equations for Hurwitz numbers

Andrei Okounkov

Toda equations for Hurwitz numbers

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/0004128 v1 pith:7PWN77R4 submitted 2000-04-19 math.AG math-phmath.COmath.MPmath.RT

Andrei Okounkov This is my paper · ORCID

classification math.AGmath-phmath.COmath.MPmath.RT

keywords coveringsnumberstodaarbitraryconsiderelsewhereequationsfunction

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We consider ramified coverings of P^1 with arbitrary ramification type over 0 and infinity and simple ramifications elsewhere and prove that the generating function for the numbers of such coverings is a tau-function for the Toda lattice hierarchy of Ueno and Takasaki.

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

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 ...

Pith tools