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Kyoto Journal of Mathematics最新文献

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Remarks about the C∞-closing lemma for 3-dimensional Reeb flows 三维Reeb流C∞闭引理的注释
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.1215/21562261-2021-0003
Kei Irie
{"title":"Remarks about the C∞-closing lemma for 3-dimensional Reeb flows","authors":"Kei Irie","doi":"10.1215/21562261-2021-0003","DOIUrl":"https://doi.org/10.1215/21562261-2021-0003","url":null,"abstract":"We prove two refinements of theC∞-closing lemma for 3-dimensional Reeb flows, which was proved by the author as an application of spectral invariants ofEmbedded Contact Homology (ECH). Specifically, we prove the following two results: (i) for aC∞-generic contact form on any closed 3-manifold, the union of periodic Reeb orbits representing ECH homology classes is dense; (ii) a certain real-analytic version of the C∞-closing lemma for 3-dimensional Reeb flows. A few questions and conjectures related to these results are also discussed.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"-1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66025490","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
Smooth Kuranishi structure of the space of Morse trajectories 摩尔斯轨迹空间的光滑Kuranishi结构
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.1215/21562261-2021-0001
Suguru Ishikawa
{"title":"Smooth Kuranishi structure of the space of Morse trajectories","authors":"Suguru Ishikawa","doi":"10.1215/21562261-2021-0001","DOIUrl":"https://doi.org/10.1215/21562261-2021-0001","url":null,"abstract":"Our aim here is to explain a new technique for the construction of a smooth Kuranishi structure, which we used in our previous article about the construction of symplectic field theory. We explain this technique in the case of a Morse chain complex.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"-1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66025478","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
Divergence function of the braided Thompson group 编织汤普森群的散度函数
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-07 DOI: 10.1215/21562261-10428532
Y. Kodama
{"title":"Divergence function of the braided Thompson group","authors":"Y. Kodama","doi":"10.1215/21562261-10428532","DOIUrl":"https://doi.org/10.1215/21562261-10428532","url":null,"abstract":"We prove that the braided Thompson group $BV$ has a linear divergence function. By the work of Druţu, Mozes, and Sapir, this leads none of asymptotic cones of $BV$ has a cut-point.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46657278","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
The conversion formulas between π∗BP and H∗BP π * BP与H * BP之间的转换公式
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/21562261-2019-0057
Koichi Inoue
{"title":"The conversion formulas between π∗BP and H∗BP","authors":"Koichi Inoue","doi":"10.1215/21562261-2019-0057","DOIUrl":"https://doi.org/10.1215/21562261-2019-0057","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"1177-1189"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45466812","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
On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space 齐次各向同性空间中半线性场方程的非相对论性极限
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/21562261-2019-0063
Makoto Nakamura
{"title":"On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space","authors":"Makoto Nakamura","doi":"10.1215/21562261-2019-0063","DOIUrl":"https://doi.org/10.1215/21562261-2019-0063","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"1333-1359"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43875057","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
Genus 2 Lefschetz fibrations with b 2 + = 1 and c 1 2 = 1 , 2 b 2 + = 1和c 1 2 = 1,2的2属Lefschetz纤颤
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/21562261-2019-0067
Anar Akhmedov, Naoyuki Monden
{"title":"Genus 2 Lefschetz fibrations with b 2 + = 1 and c 1 2 = 1 , 2","authors":"Anar Akhmedov, Naoyuki Monden","doi":"10.1215/21562261-2019-0067","DOIUrl":"https://doi.org/10.1215/21562261-2019-0067","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"1419-1451"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44853305","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
On Artin’s conjecture for CM elliptic curves 关于CM椭圆曲线的Artin猜想
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/21562261-2019-0064
Cristian Virdol
{"title":"On Artin’s conjecture for CM elliptic curves","authors":"Cristian Virdol","doi":"10.1215/21562261-2019-0064","DOIUrl":"https://doi.org/10.1215/21562261-2019-0064","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"1361-1371"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45890442","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
On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise 具有非光滑加性噪声的随机非线性Schrödinger方程
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/21562261-2019-0060
Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang
{"title":"On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise","authors":"Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang","doi":"10.1215/21562261-2019-0060","DOIUrl":"https://doi.org/10.1215/21562261-2019-0060","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"60 1","pages":"1227-1243"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46068887","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
Nondecay of the energy for a system of semilinear wave equations 半线性波动方程系统能量的不衰减
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-11-13 DOI: 10.1215/21562261-10428437
Y. Nishii
{"title":"Nondecay of the energy for a system of semilinear wave equations","authors":"Y. Nishii","doi":"10.1215/21562261-10428437","DOIUrl":"https://doi.org/10.1215/21562261-10428437","url":null,"abstract":"We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47369809","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
Systoles and diameters of hyperbolic surfaces 双曲面的收缩和直径
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2020-11-06 DOI: 10.1215/21562261-2022-0040
F. Balacheff, V. Despr'e, H. Parlier
{"title":"Systoles and diameters of hyperbolic surfaces","authors":"F. Balacheff, V. Despr'e, H. Parlier","doi":"10.1215/21562261-2022-0040","DOIUrl":"https://doi.org/10.1215/21562261-2022-0040","url":null,"abstract":"In this article we explore the relationship between the systole and the diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can be used to deduce that their ratio has a (genus dependent) upper bound.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47952695","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
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