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Pacific Journal of Mathematics最新文献

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On the potential function of the colored Jones polynomial with arbitrary colors 任意颜色的有色琼斯多项式的势函数
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-07-03 DOI: 10.2140/pjm.2023.322.171
Shun Sawabe
{"title":"On the potential function of the colored Jones polynomial with arbitrary colors","authors":"Shun Sawabe","doi":"10.2140/pjm.2023.322.171","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.171","url":null,"abstract":"We consider the potential function of the colored Jones polynomial for a link with arbitrary colors and obtain the cone-manifold structure for the link complement. In addition, we establish a relationship between a saddle point equation and hyperbolicity of the link complement. This provides evidence for the Chen-Yang conjecture on the link complement.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45239224","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
Compatibility in Ozsváth–Szabó’s borderedHFK via higher representations Ozsváth-Szabó的borderedHFK通过更高的表示的兼容性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-07-01 DOI: 10.2140/pjm.2023.323.253
William Chang, A. Manion
{"title":"Compatibility in Ozsváth–Szabó’s bordered\u0000HFK via higher representations","authors":"William Chang, A. Manion","doi":"10.2140/pjm.2023.323.253","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.253","url":null,"abstract":"We equip the basic local crossing bimodules in Ozsv'ath-Szab'o's theory of bordered knot Floer homology with the structure of 1-morphisms of 2-representations, categorifying the $U_q(mathfrak{gl}(1|1)^+)$-intertwining property of the corresponding maps between ordinary representations. Besides yielding a new connection between bordered knot Floer homology and higher representation theory in line with work of Rouquier and the second author, this structure gives an algebraic reformulation of a ``compatibility between summands'' property for Ozsv'ath-Szab'o's bimodules that is important when building their theory up from local crossings to more global tangles and knots.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41545178","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
Invariant theory for the free left-regular band and a q-analogue 自由左正则带的不变量理论及q-类比
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-06-22 DOI: 10.2140/pjm.2023.322.251
Sarah Brauner, Patrick Commins, V. Reiner
{"title":"Invariant theory for the free left-regular band and a q-analogue","authors":"Sarah Brauner, Patrick Commins, V. Reiner","doi":"10.2140/pjm.2023.322.251","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.251","url":null,"abstract":"We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on $n$ letters, defined on the set of all injective words, that is, the words with at most one occurrence of each letter. This monoid carries the action of the symmetric group. The second monoid is one of its $q$-analogues, considered by K. Brown, carrying an action of the finite general linear group. In both cases, we show that the invariant subalgebras are semisimple commutative algebras, and characterize them using Stirling and $q$-Stirling numbers. We then use results from the theory of random walks and random-to-top shuffling to decompose the entire monoid algebra into irreducibles, simultaneously as a module over the invariant ring and as a group representation. Our irreducible decompositions are described in terms of derangement symmetric functions introduced by D'esarm'enien and Wachs.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46396174","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
C1-continuation of periodic orbits fromhomoclinics 周期轨道的同斜延拓
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-06-19 DOI: 10.2140/pjm.2022.317.67
Chong-qing Cheng, Min Zhou
{"title":"C1-continuation of periodic orbits from\u0000homoclinics","authors":"Chong-qing Cheng, Min Zhou","doi":"10.2140/pjm.2022.317.67","DOIUrl":"https://doi.org/10.2140/pjm.2022.317.67","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45729983","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
Regularity, symmetry and asymptotic behaviourof solutions for some Stein–Weiss-type integral systems 一类stein - weiss型积分系统解的正则性、对称性和渐近性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-06-19 DOI: 10.2140/pjm.2022.317.153
M. Melgaard, Minbo Yang, Xianmei Zhou
{"title":"Regularity, symmetry and asymptotic behaviour\u0000of solutions for some Stein–Weiss-type integral systems","authors":"M. Melgaard, Minbo Yang, Xianmei Zhou","doi":"10.2140/pjm.2022.317.153","DOIUrl":"https://doi.org/10.2140/pjm.2022.317.153","url":null,"abstract":"We consider the positive solutions of some integral systems related to the static Hartree-type equations:","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43001533","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
Catenoid limits of singly periodic minimal surfaces with Scherk-type ends 具有Scherk型端的单周期极小曲面的范畴极限
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-06-17 DOI: 10.2140/pjm.2023.325.11
Hao Chen, Peter Connor, Kevin Li
{"title":"Catenoid limits of singly periodic minimal surfaces with Scherk-type ends","authors":"Hao Chen, Peter Connor, Kevin Li","doi":"10.2140/pjm.2023.325.11","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.11","url":null,"abstract":"We construct families of embedded, singly periodic Karcher--Scherk saddle towers of any genus $g$ in the quotient with any even number $2n>2$ of almost parallel Scherk ends. A surface in such a family looks like $n$ parallel planes connected by $n-1+g$ small catenoid necks. In the limit, the family converges to an $n$-sheeted vertical plane with $n-1+g$ singular points termed nodes in the quotient. For the nodes to open up into catenoid necks, their locations must satisfy a set of balance equations whose solutions are given by the roots of Stieltjes polynomials. In a subsequent paper, we will construct minimal surfaces by gluing saddle towers with catenoid limits of saddle towers along their wings.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44793997","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
Groups with 2-generated Sylow subgroups and their character tables 具有2个生成的Sylow子组及其字符表的组
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-05-26 DOI: 10.2140/pjm.2023.323.337
Alexander Moret'o, Benjamin Sambale
{"title":"Groups with 2-generated Sylow subgroups and their character tables","authors":"Alexander Moret'o, Benjamin Sambale","doi":"10.2140/pjm.2023.323.337","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.337","url":null,"abstract":"Let G be a finite group with Sylow p-subgroup P. We show that the character table of G determines whether P has maximal nilpotency class and whether P is a minimal non-abelian group. The latter result is obtained from a precise classification of the corresponding groups G in terms of their composition factors. For p-constrained groups G we prove further that the character table determines whether P can be generated by two elements.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44791614","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
Regularity for free multiplicative convolution on the unit circle 单位圆上自由乘法卷积的正则性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-05-14 DOI: 10.2140/pjm.2023.322.243
S. Belinschi, H. Bercovici, Ching-Wei Ho
{"title":"Regularity for free multiplicative convolution on the unit circle","authors":"S. Belinschi, H. Bercovici, Ching-Wei Ho","doi":"10.2140/pjm.2023.322.243","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.243","url":null,"abstract":"It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on the line and free multiplicative convolution on the positive half-line.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43000342","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
Pochette surgery of 4-sphere 4球波切特手术
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-05-12 DOI: 10.2140/pjm.2023.324.371
T. Uzuki, M. Angé, Matthias Aschenbrenner, Robert Lipshitz, Paul Balmer, Kefeng Liu, Paul Yang, Vyjayanthi Chari, S. Popa
{"title":"Pochette surgery of 4-sphere","authors":"T. Uzuki, M. Angé, Matthias Aschenbrenner, Robert Lipshitz, Paul Balmer, Kefeng Liu, Paul Yang, Vyjayanthi Chari, S. Popa","doi":"10.2140/pjm.2023.324.371","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.371","url":null,"abstract":"Iwase and Matsumoto defined `pochette surgery' as a cut-and-paste on 4-manifolds along a 4-manifold homotopy equivalent to $S^2vee S^1$. The first author in [10] studied infinitely many homotopy 4-spheres obtained by pochette surgery. In this paper we compute the homology of pochette surgery of any homology 4-sphere by using `linking number' of a pochette embedding. We prove that pochette surgery with the trivial cord does not change the diffeomorphism type or gives a Gluck surgery. We also show that there exist pochette surgeries on the 4-sphere with a non-trivial core sphere and a non-trivial cord such that the surgeries give the 4-sphere.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45726596","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
On weak convergence of quasi-infinitely divisible laws 拟无限可分律的弱收敛性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-04-28 DOI: 10.2140/pjm.2023.322.341
A. Khartov
{"title":"On weak convergence of quasi-infinitely divisible laws","authors":"A. Khartov","doi":"10.2140/pjm.2023.322.341","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.341","url":null,"abstract":"We study a new class of so-called quasi-infinitely divisible laws, which is a wide natural extension of the well known class of infinitely divisible laws through the L'evy--Khinchine type representations. We are interested in criteria of weak convergence within this class. Under rather natural assumptions, we state assertions, which connect a weak convergence of quasi-infinitely divisible distribution functions with one special type of convergence of their L'evy--Khinchine spectral functions. The latter convergence is not equivalent to the weak convergence. So we complement known results by Lindner, Pan, and Sato (2018) in this field.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44873139","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
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