Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139115698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139122184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
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Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
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Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139123571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139118942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139121486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
{"title":"Erratum to The level four braid group (J. reine angew. Math. 735 (2018), 249–264))","authors":"Tara E. Brendle, Dan Margalit","doi":"10.1515/crelle-2023-0093","DOIUrl":"https://doi.org/10.1515/crelle-2023-0093","url":null,"abstract":"Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .","PeriodicalId":508691,"journal":{"name":"Journal für die reine und angewandte Mathematik (Crelles Journal)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-02DOI: 10.1515/crelle-2023-0093
Tara E. Brendle, Dan Margalit
Abstract The proof of the first statement of Theorem 5.1 of the paper referenced in the title is correct for k = 1 {k=1} and incorrect for k ≥ 2 {kgeq 2} and should be considered an open problem. As such, the proof of the second statement is not correct for k ≥ 2 {kgeq 2} .
摘要 标题中提到的论文中的定理 5.1 的第一个陈述的证明对于 k = 1 {k=1} 是正确的，而对于 k ≥ 2 {kgeq 2} 则是不正确的，应被视为一个未决问题。因此，对于 k ≥ 2 {kgeq 2} 而言，第二个陈述的证明是不正确的。
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