{"title":"A criterion for slope 1 homological stability","authors":"Mikala Ørsnes Jansen, Jeremy Miller","doi":"arxiv-2407.01124","DOIUrl":null,"url":null,"abstract":"We show that for nice enough $\\mathbb{N}$-graded $\\mathbb{E}_2$-algebras, a\ndiagonal vanishing line in $\\mathbb{E}_1$-homology of gives rise to slope $1$\nhomological stability. This is an integral version of a result by\nKupers-Miller-Patzt.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"56 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.01124","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 show that for nice enough $\mathbb{N}$-graded $\mathbb{E}_2$-algebras, a
diagonal vanishing line in $\mathbb{E}_1$-homology of gives rise to slope $1$
homological stability. This is an integral version of a result by
Kupers-Miller-Patzt.
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