Generic $\mathfrak{gl}_2$-foams, web and arc algebras

Catharina Stroppel; Daniel Tubbenhauer; Michael Ehrig

Generic $\mathfrak{gl}_2$-foams, web and arc algebras

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 1601.08010 v3 pith:LSM2ZM57 submitted 2016-01-29 math.GT math.RT

Michael Ehrig , Catharina Stroppel , Daniel Tubbenhauer This is my paper · ORCID

classification math.GTmath.RT

keywords mathfrakalgebrasassociatedfoamsinvariantslinkseveraltangle

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We define parameter dependent $\mathfrak{gl}_2$-foams and their associated web and arc algebras, and verify that they specialize to several known $\mathfrak{sl}_2$ or $\mathfrak{gl}_2$ constructions related to higher link and tangle invariants. Moreover, we show that all these specializations are equivalent, and we deduce several applications, e.g. we discuss the consequences for the associated link and tangle invariants, and their functoriality.

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

An action of the Witt algebra on Khovanov-Rozansky homology
math.GT 2025-01 conditional novelty 6.0 of 10

Khovanov-Rozansky gl_N link homology carries a functorial action of the positive Witt algebra, making link cobordisms equivariant maps between twisted homology groups.

Pith tools