Pith. sign in

REVIEW 1 cited by

An important step for the computation of the HOMFLYPT skein module of the lens spaces $L(p,1)$ via braids

Not yet reviewed by Pith; the record is open.

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 1802.09376 v1 pith:52GVFZN5 submitted 2018-02-23 math.GT

classification math.GT
keywords homflyptmoduleskeinlambdalensmathcalsolidspaces
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We prove that, in order to derive the HOMFLYPT skein module of the lens spaces $L(p,1)$ from the HOMFLYPT skein module of the solid torus, $\mathcal{S}({\rm ST})$, it suffices to solve an infinite system of equations obtained by imposing on the Lambropoulou invariant $X$ for knots and links in the solid torus, braid band moves that are performed only on the first moving strand of elements in a set $\Lambda^{aug}$, augmenting the basis $\Lambda$ of $\mathcal{S}({\rm ST})$.

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. The Kauffman bracket skein module of the handlebody of genus 2 via braids

    math.GT 2019-08 conditional novelty 5.0 of 10

    Two new infinite bases for the Kauffman bracket skein module of the genus-2 handlebody are constructed from braid loop generators and linked to the known Przytycki basis by a lower triangular matrix.

Pith tools