{"title":"Relative train tracks and endperiodic graph maps","authors":"Yan Mary He, Chenxi Wu","doi":"arxiv-2408.13401","DOIUrl":null,"url":null,"abstract":"We study endperiodic maps of an infinite graph with finitely many ends. We\nprove that any such map is homotopic to an endperiodic relative train track\nmap. Moreover, we show that the (largest) Perron-Frobenius eigenvalue of the\ntransition matrix is a canonical quantity associated to the map.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-23","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-2408.13401","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 study endperiodic maps of an infinite graph with finitely many ends. We
prove that any such map is homotopic to an endperiodic relative train track
map. Moreover, we show that the (largest) Perron-Frobenius eigenvalue of the
transition matrix is a canonical quantity associated to the map.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
