Pith. sign in

REVIEW 1 cited by

Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial

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 2502.20659 v1 pith:XRESQRCF submitted 2025-02-28 math.GT math.RA

Anthony Christiana , Ben Clingenpeel , Huizheng Guo , Jinseok Oh , Jozef H. Przytycki , Xiao Wang , Hongdae Yun This is my paper · ORCID
classification math.GTmath.RA
keywords homologycomputationhomflyptoperatorspolynomialyang-baxteryieldinganalyze
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In this paper, we analyze the homology of the Yang-Baxter Operators $R_{(m)}$ yielding the HOMFLYPT polynomial, reducing the computation of the $n$-th homology of $R_{(m)}$ for arbitrary $m$ to the computation of $n+1$ initial conditions. We then produce the explicit formulas for the third and fourth homology.

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. Path to homology of Yang-Baxter operators

    math.GT 2026-07 accept novelty 5.5 of 10

    A historical and personal survey of the path from knot theory and distributive homology to Yang-Baxter homology, including new homology computations for HOMFLYPT operators and a cubic face-map decomposition of the Rei...

Pith tools