Remarks on global dimensions of fusion categories

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 1804.08761 v1 pith:QAJT4PSE submitted 2018-04-23 math.QA

Victor Ostrik This is my paper

classification math.QA

keywords fusionglobalboundcategoriescategorydimensiondimensionsgive

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We give a nontrivial lower bound for global dimension of a spherical fusion category.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Is Crane--Yetter fully extended?
math-ph 2025-06 conditional novelty 6.0 of 10

Fully extended invertible 4D TQFTs valued in braided fusion categories form a Z/6-extension of the Witt group, so Crane-Yetter has six inequivalent point-refinements for fixed modular data.