Pith. sign in

REVIEW 2 cited by

A note on the gl(m|n) link invariants and the HOMFLY-PT 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 1506.03329 v1 pith:7QWLMSXX submitted 2015-06-10 math.QA math.RT

Hoel Queffelec , Antonio Sartori This is my paper · ORCID
classification math.QAmath.RT
keywords invariantslinkpolynomialhomfly-ptalexanderbrauercategorygenerally
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We present a short and unified representation-theoretical treatment of type A link invariants (that is, the HOMFLY-PT polynomials, the Jones polynomial, the Alexander polynomial and, more generally, the gl(m|n) quantum invariants) as link invariants with values in the quantized oriented Brauer category.

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. State sums for some super quantum link invariants

    math.QA 2019-09 conditional novelty 7.0 of 10

    A state sum model is given for U_q(gl_{N|M}) quantum link invariants, and a renormalized invariant in the non-semisimple case is shown to agree with normalized colored Jones polynomials at roots of unity.

  2. Construction of Lie algebra weight system kernel via Vogel algebra

    math.QA 2024-11 conditional novelty 6.0 of 10

    Using Vogel's Lambda algebra, the authors construct and explicitly list the first Jacobi diagrams in the kernel of the sl_n weight system, up to order 10 for primitive diagrams.

Pith tools