{"title":"The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components","authors":"Piotr Pawlak, Michał Stukow","doi":"10.2996/kmj46301","DOIUrl":null,"url":null,"abstract":"We determine the first homology group with coefficients in $H_1(N;\\mathbb{Z})$ for the mapping class group of a non-orientable surface $N$ of genus three with two boundary components.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":"27 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/kmj46301","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We determine the first homology group with coefficients in $H_1(N;\mathbb{Z})$ for the mapping class group of a non-orientable surface $N$ of genus three with two boundary components.
期刊介绍：
Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.
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