Pith. sign in

REVIEW 2 cited by

Knot homology groups from instantons

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 0806.1053 v2 pith:2EZFPSIF submitted 2008-06-05 math.GT

P. B. Kronheimer , T. S. Mrowka This is my paper · ORCID
classification math.GT
keywords homologyinstantonscodimension-2defineflagfloergroupsknot
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

For each partial flag manifold of SU(N), we define a Floer homology theory for knots in 3-manifolds, using instantons with codimension-2 singularities.

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. The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase

    math.GT 2026-07 conditional novelty 7.0 of 10

    For every odd q≥3, the reduced singular instanton knot homology of P(-2,3,q) has rank q+2, and explicit pillowcase bounding cochains are computed that cancel or create one differential to match this rank.

  2. Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

    math.GT 2026-07 conditional novelty 5.0 of 10

    For two-bridge knots every traceless SU(2) character is binary-dihedral; for (3,n)-torus knots the characters are mostly non-dihedral, with gradings that predict when knot-instanton homology shrinks below the chain complex.

Pith tools