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Statement of Retraction: The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra 可收回声明:量子辛球的坐标代数不嵌入任何C*-代数
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-05-31 DOI: 10.1142/s1793525322930013
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引用次数: 0
Ribbon Yetter–Drinfeld modules and tangle invariants 带状叶氏-德林菲尔德模块和缠结不变量
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-04-06 DOI: 10.1142/s179352532350019x
K. Habiro, Yuka Kotorii
{"title":"Ribbon Yetter–Drinfeld modules and tangle invariants","authors":"K. Habiro, Yuka Kotorii","doi":"10.1142/s179352532350019x","DOIUrl":"https://doi.org/10.1142/s179352532350019x","url":null,"abstract":"We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessarily with duals. We apply this construction to the braided monoidal category of Yetter--Drinfeld modules over a Hopf algebra. This gives rise to the notion of ribbon Yetter--Drinfeld modules over a Hopf algebra, which form ribbon categories. This gives an invariant of tangles.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90836087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Linear isoperimetric inequality for homogeneous Hadamard manifolds 齐次Hadamard流形的线性等周不等式
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-03-17 DOI: 10.1142/s1793525323500334
Hjalti Isleifsson
{"title":"Linear isoperimetric inequality for homogeneous Hadamard manifolds","authors":"Hjalti Isleifsson","doi":"10.1142/s1793525323500334","DOIUrl":"https://doi.org/10.1142/s1793525323500334","url":null,"abstract":"It is well known that simply connected symmetric spaces of non-positive sectional curvature admit a linear isoperimetric filling inequality for cycles of dimension greater than or equal to the rank of the space. In this note we extend that result to homogeneous Hadamard manifolds.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79865581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem 关于偏集的Morse-Bott理论和一个同调Lusternik-Schnirelmann定理
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-30 DOI: 10.1142/s1793525321500709
D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches
{"title":"Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem","authors":"D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches","doi":"10.1142/s1793525321500709","DOIUrl":"https://doi.org/10.1142/s1793525321500709","url":null,"abstract":"We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik–Schnirelmann theorem for general matchings on posets, in particular, for Morse–Bott functions.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Macroscopic scalar curvature and codimension 2 width 宏观标量曲率和余维2宽度
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-08 DOI: 10.1142/S1793525323500024
H. Alpert, Alexey Balitskiy, L. Guth
{"title":"Macroscopic scalar curvature and codimension 2 width","authors":"H. Alpert, Alexey Balitskiy, L. Guth","doi":"10.1142/S1793525323500024","DOIUrl":"https://doi.org/10.1142/S1793525323500024","url":null,"abstract":"We show that a complete $3$-dimensional Riemannian manifold $M$ with finitely generated first homology has macroscopic dimension $1$ if it satisfies the following\"macroscopic curvature\"assumptions: every ball of radius $10$ in $M$ has volume at most $4$, and every loop in every ball of radius $1$ in $M$ is null-homologous in the concentric ball of radius $2$.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74686550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra 量子辛球的坐标代数不嵌入到任何C*代数中
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-02 DOI: 10.1142/s1793525321500655
F. D’Andrea, G. Landi
{"title":"The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra","authors":"F. D’Andrea, G. Landi","doi":"10.1142/s1793525321500655","DOIUrl":"https://doi.org/10.1142/s1793525321500655","url":null,"abstract":"In this note, we generalize a result of Mikkelsen–Szymański and show that, for every [Formula: see text], any bounded ∗-representation of the quantum symplectic sphere [Formula: see text] annihilates the first [Formula: see text] generators. We then classify irreducible representations of its coordinate algebra [Formula: see text].","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78111671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fukaya A∞-structures associated to Lefschetz fibrations. V 与Lefschetz纤颤相关的Fukaya A∞结构。V
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-11-29 DOI: 10.1142/s1793525321500588
Paul Seidel
{"title":"Fukaya A∞-structures associated to Lefschetz fibrations. V","authors":"Paul Seidel","doi":"10.1142/s1793525321500588","DOIUrl":"https://doi.org/10.1142/s1793525321500588","url":null,"abstract":"We (re)consider how the Fukaya category of a Lefschetz fibration is related to that of the fiber. The distinguishing feature of the approach here is a more direct identification of the bimodule homomorphism involved.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The weak form of Hirzebruch's prize question via rational surgery 通过理性手术，Hirzebruch获奖问题的弱形式
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-11-29 DOI: 10.1142/s1793525321500710
A. Milivojević
{"title":"The weak form of Hirzebruch's prize question via rational surgery","authors":"A. Milivojević","doi":"10.1142/s1793525321500710","DOIUrl":"https://doi.org/10.1142/s1793525321500710","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89450148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Rigidity of mean convex subsets in non-negatively curved RCD spaces and stability of mean curvature bounds 非负弯曲RCD空间中平均凸子集的刚性与平均曲率界的稳定性
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-11-23 DOI: 10.1142/s1793525323500358
C. Ketterer
{"title":"Rigidity of mean convex subsets in non-negatively curved RCD spaces and stability of mean curvature bounds","authors":"C. Ketterer","doi":"10.1142/s1793525323500358","DOIUrl":"https://doi.org/10.1142/s1793525323500358","url":null,"abstract":"We prove splitting theorems for mean convex open subsets in RCD (Riemannian curvature-dimension) spaces that extend results by Kasue, Croke and Kleiner for Riemannian manifolds with boundary to a non-smooth setting. A corollary is for instance Frankel's theorem. Then, we prove that our notion of mean curvature bounded from below for the boundary of an open subset is stable w.r.t. to uniform convergence of the corresponding boundary distance function. We apply this to prove almost rigidity theorems for uniform domains whose boundary has a lower mean curvature bound.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72804073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Commutativity of the Haagerup tensor product and base change for operator modules 哈格鲁普张量积的交换性与算子模的基变
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-11-15 DOI: 10.1142/s179352532150062x
Tyrone Crisp
{"title":"Commutativity of the Haagerup tensor product and base change for operator modules","authors":"Tyrone Crisp","doi":"10.1142/s179352532150062x","DOIUrl":"https://doi.org/10.1142/s179352532150062x","url":null,"abstract":"By computing the completely bounded norm of the flip map on the Haagerup tensor product [Formula: see text] associated to a pair of continuous mappings of locally compact Hausdorff spaces [Formula: see text], we establish a simple characterization of the Beck-Chevalley condition for base change of operator modules over commutative [Formula: see text]-algebras, and a descent theorem for continuous fields of Hilbert spaces.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79155764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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