Pub Date : 2024-04-03DOI: 10.1142/s0129167x24920010
Humihiko Watanabe
{"title":"Erratum: Twisted cohomology of the complement of theta divisors in an abelian surface","authors":"Humihiko Watanabe","doi":"10.1142/s0129167x24920010","DOIUrl":"https://doi.org/10.1142/s0129167x24920010","url":null,"abstract":"","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140749923","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 : 2024-03-11DOI: 10.1142/s0129167x24400020
Jieming Yang
{"title":"Hermitian mean curvature flow","authors":"Jieming Yang","doi":"10.1142/s0129167x24400020","DOIUrl":"https://doi.org/10.1142/s0129167x24400020","url":null,"abstract":"","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140254005","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 : 2024-01-25DOI: 10.1142/s0129167x24500125
Kouki Yamaguchi
The LMO invariant is a universal quantum invariant of 3-manifolds. In this paper, we present the degree 2 part of the LMO invariant of cyclic branched covers of knots by using the 3-loop invariant of knots, and we calculate it concretely for knots obtained by plumbing the doubles of two knots.
{"title":"The degree 2 part of the LMO invariant of cyclic branched covers of knots obtained by plumbing the doubles of two knots","authors":"Kouki Yamaguchi","doi":"10.1142/s0129167x24500125","DOIUrl":"https://doi.org/10.1142/s0129167x24500125","url":null,"abstract":"The LMO invariant is a universal quantum invariant of 3-manifolds. In this paper, we present the degree 2 part of the LMO invariant of cyclic branched covers of knots by using the 3-loop invariant of knots, and we calculate it concretely for knots obtained by plumbing the doubles of two knots.","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139597452","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 : 2024-01-17DOI: 10.1142/s0129167x24500101
Ye Li, Chuang Lin, Kelei Zhang
{"title":"Monotonicity and One-Dimensional Symmetry of Solutions for the Weighted Fractional Parabolic Equations on the Whole Space","authors":"Ye Li, Chuang Lin, Kelei Zhang","doi":"10.1142/s0129167x24500101","DOIUrl":"https://doi.org/10.1142/s0129167x24500101","url":null,"abstract":"","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139617586","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 : 2024-01-12DOI: 10.1142/s0129167x24500095
A. Tayebi, F. Eslami
{"title":"Some Curvature Properties of Spherically Symmetric Finsler Metrics","authors":"A. Tayebi, F. Eslami","doi":"10.1142/s0129167x24500095","DOIUrl":"https://doi.org/10.1142/s0129167x24500095","url":null,"abstract":"","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139533085","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 : 2024-01-12DOI: 10.1142/s0129167x24500034
Yongjun Xu, Jialei Chen
We classify all the Hopf PBW-deformations of a new type quantum group [Formula: see text] from which the classical Drinfeld–Jimbo quantum group [Formula: see text] can arise as an almost unique nontrivial one. Different from the [Formula: see text] case, the category of finite-dimensional [Formula: see text]-modules is non-semisimple. We establish a block decomposition theorem for the category [Formula: see text] of finite-dimensional weight modules of [Formula: see text]. On the level of tensor category, we show that [Formula: see text] (respectively, the category [Formula: see text] of finite-dimensional [Formula: see text]-modules) can be realized via (respectively, deformed) preprojective algebras of Dynkin type [Formula: see text].
{"title":"Hopf PBW-deformations of a new type quantum group Uq(𝔰𝔩2∗) and deformed preprojective algebras","authors":"Yongjun Xu, Jialei Chen","doi":"10.1142/s0129167x24500034","DOIUrl":"https://doi.org/10.1142/s0129167x24500034","url":null,"abstract":"We classify all the Hopf PBW-deformations of a new type quantum group [Formula: see text] from which the classical Drinfeld–Jimbo quantum group [Formula: see text] can arise as an almost unique nontrivial one. Different from the [Formula: see text] case, the category of finite-dimensional [Formula: see text]-modules is non-semisimple. We establish a block decomposition theorem for the category [Formula: see text] of finite-dimensional weight modules of [Formula: see text]. On the level of tensor category, we show that [Formula: see text] (respectively, the category [Formula: see text] of finite-dimensional [Formula: see text]-modules) can be realized via (respectively, deformed) preprojective algebras of Dynkin type [Formula: see text].","PeriodicalId":509585,"journal":{"name":"International Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139624620","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}
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