dorsal/arxiv
View SchemaExamples of categorification
| Authors | Louis Crane, David N. Yetter |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607028 |
| URL | https://arxiv.org/abs/q-alg/9607028 |
Abstract
We construct tensor and bitensor categories with given Grothedieck rig (fusion algebra) in simple cases. The results provide examples on which to test the conjectural construction of 4-D TQFT's proposed by Crane and Frenkel and shed light on several other constructions of TQFT's.
{
"annotation_id": "55bb1e90-9cbc-47e0-b6f1-3086ccb7fc3b",
"date_created": "2026-03-02T18:01:28.460000Z",
"date_modified": "2026-03-02T18:01:28.460000Z",
"file_hash": "809ee220d98b32cedb51dd404df906ec43ba4d185e0e394d0a73724a351dfb71",
"private": false,
"record": {
"abstract": "We construct tensor and bitensor categories with given Grothedieck rig\n(fusion algebra) in simple cases. The results provide examples on which to test\nthe conjectural construction of 4-D TQFT\u0027s proposed by Crane and Frenkel and\nshed light on several other constructions of TQFT\u0027s.",
"arxiv_id": "q-alg/9607028",
"authors": [
"Louis Crane",
"David N. Yetter"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Examples of categorification",
"url": "https://arxiv.org/abs/q-alg/9607028"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6f794ff1-751a-4477-bff3-77263647ca40",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}