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JAZ volume 111 issue 2 Cover and Front matter jazz第111卷第2期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-09-13 DOI: 10.1017/s1446788720000336
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引用次数: 0
SIMPLY CONNECTED MANIFOLDS WITH LARGE HOMOTOPY STABLE CLASSES 具有大同伦稳定类的单连通流形
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-09-02 DOI: 10.1017/S1446788722000167
Anthony Conway, D. Crowley, Mark Powell, Joerg Sixt
{"title":"SIMPLY CONNECTED MANIFOLDS WITH LARGE HOMOTOPY STABLE CLASSES","authors":"Anthony Conway, D. Crowley, Mark Powell, Joerg Sixt","doi":"10.1017/S1446788722000167","DOIUrl":"https://doi.org/10.1017/S1446788722000167","url":null,"abstract":"Abstract For every \u0000$k geq 2$\u0000 and \u0000$n geq 2$\u0000 , we construct n pairwise homotopically inequivalent simply connected, closed \u0000$4k$\u0000 -dimensional manifolds, all of which are stably diffeomorphic to one another. Each of these manifolds has hyperbolic intersection form and is stably parallelisable. In dimension four, we exhibit an analogous phenomenon for spin \u0000$^{c}$\u0000 structures on \u0000$S^2 times S^2$\u0000 . For \u0000$mgeq 1$\u0000 , we also provide similar \u0000$(4m-1)$\u0000 -connected \u0000$8m$\u0000 -dimensional examples, where the number of homotopy types in a stable diffeomorphism class is related to the order of the image of the stable J-homomorphism \u0000$pi _{4m-1}(SO) to pi ^s_{4m-1}$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78750642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
JAZ volume 111 issue 1 Cover and Back matter jazz第111卷第1期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-08-01 DOI: 10.1017/s1446788720000324
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引用次数: 0
JAZ volume 111 issue 1 Cover and Front matter jazz第111卷第1期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-08-01 DOI: 10.1017/s1446788720000312
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引用次数: 0
GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS 超几何周期-逼近的鬼影与同余
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-07-18 DOI: 10.1017/S1446788723000083
A. Varchenko, W. Zudilin
{"title":"GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS","authors":"A. Varchenko, W. Zudilin","doi":"10.1017/S1446788723000083","DOIUrl":"https://doi.org/10.1017/S1446788723000083","url":null,"abstract":"\u0000 We prove general Dwork-type congruences for constant terms attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and p-adic analytic properties of functions originating from polynomial solutions modulo \u0000 \u0000 \u0000 \u0000$p^s$\u0000\u0000 \u0000 of hypergeometric and Knizhnik–Zamolodchikov (KZ) equations, solutions which come as coefficients of master polynomials and whose coefficients are integers. As an application, we show that the simplest example of a p-adic KZ connection has an invariant line subbundle while its complex analog has no nontrivial subbundles due to the irreducibility of its monodromy representation.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87332550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
SOME $boldsymbol {L^p}$ -HARDY AND $boldsymbol {L^p}$ -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS 一些$boldsymbol {L^p}$ -HARDY和$boldsymbol {L^p}$ -RELLICH型带余项不等式
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-22 DOI: 10.1017/S1446788721000100
Yongyang Jin, Shoufeng Shen
{"title":"SOME \u0000$boldsymbol {L^p}$\u0000 -HARDY AND \u0000$boldsymbol {L^p}$\u0000 -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS","authors":"Yongyang Jin, Shoufeng Shen","doi":"10.1017/S1446788721000100","DOIUrl":"https://doi.org/10.1017/S1446788721000100","url":null,"abstract":"Abstract In this paper we obtain some improved \u0000$L^p$\u0000 -Hardy and \u0000$L^p$\u0000 -Rellich inequalities on bounded domains of Riemannian manifolds. For Cartan–Hadamard manifolds we prove the inequalities with sharp constants and with weights being hyperbolic functions of the Riemannian distance.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86688076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY 椭圆上同调在同伦以内是唯一的
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-14 DOI: 10.1017/S1446788722000209
J. M. Davies
{"title":"ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY","authors":"J. M. Davies","doi":"10.1017/S1446788722000209","DOIUrl":"https://doi.org/10.1017/S1446788722000209","url":null,"abstract":"Abstract Homotopy theory folklore tells us that the sheaf defining the cohomology theory \u0000$operatorname {mathrm {Tmf}}$\u0000 of topological modular forms is unique up to homotopy. Here we provide a proof of this fact, although we claim no originality for the statement. This retroactively reconciles all previous constructions of \u0000$operatorname {mathrm {Tmf}}$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77625601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
JAZ volume 110 issue 3 Cover and Back matter jazz第110卷第3期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788720000300
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引用次数: 0
JAZ volume 110 issue 3 Cover and Front matter jazz第110卷第3期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788720000294
{"title":"JAZ volume 110 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s1446788720000294","DOIUrl":"https://doi.org/10.1017/s1446788720000294","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73534984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
INDEX 指数
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788718000587
{"title":"INDEX","authors":"","doi":"10.1017/s1446788718000587","DOIUrl":"https://doi.org/10.1017/s1446788718000587","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73047095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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