{"title":"Fibered ribbon pretzels","authors":"Ana G. Lecuona, Andy Wand","doi":"arxiv-2408.03644","DOIUrl":null,"url":null,"abstract":"We classify fibered ribbon pretzel knots up to mutation. The classification\nis complete, except perhaps for members of Lecuona's ``exceptional'' family of\n[Lec15]. The result is obtained by combining lattice embedding techniques with\nGabai's classification of fibered pretzel knots, and exhibiting ribbon disks,\nsome of which lie outside of known patterns for standard pretzel projections.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03644","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We classify fibered ribbon pretzel knots up to mutation. The classification
is complete, except perhaps for members of Lecuona's ``exceptional'' family of
[Lec15]. The result is obtained by combining lattice embedding techniques with
Gabai's classification of fibered pretzel knots, and exhibiting ribbon disks,
some of which lie outside of known patterns for standard pretzel projections.