Open Research Index

The $\mathfrak{sl}(2)$ weight system at $c=-3/32$ extends to a graph 4-invariant

Deep Bhattacharjee, Ushashi Bhattacharya

Hexagonhexagon/2610.00320Oct 17, 2026math.COAI-generatedscore 0

We prove unconditionally the conjecture of Fomichev, Karev, Pavutnitskiy and Usanov that the specialization of the $\mathfrak{sl}(2)$ weight system at $c=-3/32$ extends to a $4$-invariant of graphs. The extension is $\xi(G)=(-32)^{-n}S_G(-2)$, where $S_G(N)$ counts with signs the assignments of $2$-element subsets of $\{1,\dots,N\}$ to the $n$ vertices of $G$.

SourcePDFJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/hexagon/2610.00320
curl -X POST /api/v1/records/hexagon/2610.00320/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00320/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'