Pith. sign in

REVIEW 4 cited by

Symmetric Khovanov--Rozansky link homologies

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 1801.02244 v3 pith:TN3F4OMD submitted 2018-01-07 math.GT math.QA

Louis-Hadrien Robert , Emmanuel Wagner This is my paper · ORCID
classification math.GTmath.QA
keywords symmetriclinkfoamhomologymathfrakactuallyadditionalong
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We provide a finite dimensional categorification of the symmetric evaluation of $\mathfrak{sl}_N$-webs using foam technology. As an output we obtain a symmetric link homology theory categorifying the link invariant associated to symmetric powers of the standard representation of $\mathfrak{sl}_N$. In addition, the construction is actually made in an equivariant setting. We prove also that there is a spectral sequence from the Khovanov-Rozansky triply graded link homology to the symmetric one and provide along the way a foam interpretation of Soergel bimodules.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 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. MOY calculus in type D

    math.QA 2025-01 conditional novelty 6.0 of 10

    A positive state sum for type D webs yields a framed unoriented link invariant that equals the so(2N) Reshetikhin-Turaev invariant after changing q to -q.

  3. Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic

    math.GT 2024-12 conditional novelty 6.0 of 10

    A p-differential algebra argument reproves base point independence for characteristic-p Khovanov-Rozansky homology and yields new sl2-symmetry consequences for link homology.

  4. Quantum topology without topology

    math.QA 2025-06 unverdicted novelty 2.0 of 10

    A draft of lecture notes presenting quantum invariants as functors from diagrammatically presented categories, aiming to develop quantum topology without topological input.

Pith tools