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Kyoto Journal of Mathematics最新文献

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Stability conditions on morphisms in a category 范畴中态射的稳定性条件
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-05-14 DOI: 10.1215/21562261-2022-0014
Kotaro Kawatani
{"title":"Stability conditions on morphisms in a category","authors":"Kotaro Kawatani","doi":"10.1215/21562261-2022-0014","DOIUrl":"https://doi.org/10.1215/21562261-2022-0014","url":null,"abstract":"Let $mathbf D$ be the homotopy category of a stable infinity category. Then the category $mathbf D^{Delta^1}$ of morphisms in $mathbf{D}$ is also triangulated. Hence the space $mathsf{Stab},{ mathbf D^{Delta^1}}$ of stability conditions on $mathbf D^{Delta^1}$ is well-defined though the non-emptiness of $mathsf{Stab},{ mathbf D^{Delta^1}}$ is not obvious. We discuss a relation between $mathsf{Stab},{ mathbf D^{Delta^1}}$ and $mathsf{Stab},{ mathbf D}$ by proposing some problems.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49179650","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: 3
The bijectivity of mirror functors on tori 复曲面上镜像函子的双射性
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-05-02 DOI: 10.1215/21562261-2022-0021
Kazushi Kobayashi
{"title":"The bijectivity of mirror functors on tori","authors":"Kazushi Kobayashi","doi":"10.1215/21562261-2022-0021","DOIUrl":"https://doi.org/10.1215/21562261-2022-0021","url":null,"abstract":"By the SYZ construction, a mirror pair $(X,check{X})$ of a complex torus $X$ and a mirror partner $check{X}$ of the complex torus $X$ is described as the special Lagrangian torus fibrations $X rightarrow B$ and $check{X} rightarrow B$ on the same base space $B$. Then, by the SYZ transform, we can construct a simple projectively flat bundle on $X$ from each affine Lagrangian multi section of $check{X} rightarrow B$ with a unitary local system along it. However, there are ambiguities of the choices of transition functions of it, and this causes difficulties when we try to construct a functor between the symplectic geometric category and the complex geometric category. In this paper, we prove that there exists a bijection between the set of the isomorphism classes of their objects by solving this problem.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45676436","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
Affine surfaces with isomorphic A2-cylinders 具有同构a2柱面的仿射曲面
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-04-01 DOI: 10.1215/21562261-2018-0005
A. Dubouloz
{"title":"Affine surfaces with isomorphic A2-cylinders","authors":"A. Dubouloz","doi":"10.1215/21562261-2018-0005","DOIUrl":"https://doi.org/10.1215/21562261-2018-0005","url":null,"abstract":"We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic A(2)-cylinders. As a consequence, we derive that the A(2)-cancellation problem fails in every dimension greater than or equal to 2.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47972918","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: 6
Generating linear categories of partitions 生成分区的线性类别
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-03-30 DOI: 10.1215/21562261-2022-0028
Daniel Gromada, Moritz Weber
{"title":"Generating linear categories of partitions","authors":"Daniel Gromada, Moritz Weber","doi":"10.1215/21562261-2022-0028","DOIUrl":"https://doi.org/10.1215/21562261-2022-0028","url":null,"abstract":"We present an algorithm for approximating linear categories of partitions (of sets). We report on concrete computer experiments based on this algorithm and how we found new examples of compact matrix quantum groups (so called \"non-easy\" quantum groups) with it. This also led to further theoretical insights regarding the representation theory of such quantum groups. We interpret some of the new categories constructing anticommutative twists of quantum groups.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43630192","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: 6
Polyhedral products over finite posets 有限偏序集上的多面体积
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-03-19 DOI: 10.1215/21562261-2022-0020
D. Kishimoto, R. Levi
{"title":"Polyhedral products over finite posets","authors":"D. Kishimoto, R. Levi","doi":"10.1215/21562261-2022-0020","DOIUrl":"https://doi.org/10.1215/21562261-2022-0020","url":null,"abstract":"Polyhedral products were defined by Bahri, Bendersky, Cohen and Gitler, to be spaces obtained as unions of certain product spaces indexed by the simplices of an abstract simplicial complex. In this paper we give a very general homotopy theoretic construction of polyhedral products over arbitrary pointed posets. We show that under certain restrictions on the poset $calp$, that include all known cases, the cohomology of the resulting spaces can be computed as an inverse limit over $calp$ of the cohomology of the building blocks. This motivates the definition of an analogous algebraic construction - the polyhedral tensor product. We show that for a large family of posets, the cohomology of the polyhedral product is given by the polyhedral tensor product. We then restrict attention to polyhedral posets, a family of posets that include face posets of simplicial complexes, and simplicial posets, as well as many others. We define the Stanley-Reisner ring of a polyhedral poset and show that, like in the classical cases, these rings occur as the cohomology of certain polyhedral products over the poset in question. For any pointed poset $calp$ we construct a simplicial poset $s(calp)$, and show that if $calp$ is a polyhedral poset then polyhedral products over $calp$ coincide up to homotopy with the corresponding polyhedral products over $s(calp)$.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46937007","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: 6
Candidate for the crystal B(−∞) for the queer Lie superalgebra 酷儿李超代数晶体B(−∞)的候选
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-03-08 DOI: 10.1215/21562261-2022-0010
Ben Salisbury, Travis Scrimshaw
{"title":"Candidate for the crystal B(−∞) for the queer Lie superalgebra","authors":"Ben Salisbury, Travis Scrimshaw","doi":"10.1215/21562261-2022-0010","DOIUrl":"https://doi.org/10.1215/21562261-2022-0010","url":null,"abstract":"It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47720720","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
On linear adiabatic perturbations of spherically symmetric gaseous stars governed by the Euler–Poisson equations 由欧拉-泊松方程控制的球对称气态恒星的线性绝热扰动
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-02-10 DOI: 10.1215/21562261-10428494
T. Makino
{"title":"On linear adiabatic perturbations of spherically symmetric gaseous stars governed by the Euler–Poisson equations","authors":"T. Makino","doi":"10.1215/21562261-10428494","DOIUrl":"https://doi.org/10.1215/21562261-10428494","url":null,"abstract":"The linearized operator for non-radial oscillations of spherically symmetric self-gravitating gaseous stars is analyzed in view of the functional analysis. The evolution of the star is supposed to be governed by the Euler-Poisson equations under the equation of state of the ideal gas, and the motion is supposed to be adiabatic. We consider the case of not necessarily isentropic, that is, not barotropic motions. Basic theory of self-adjoint realization of the linearized operator is established. Some problems in the investigation of the concrete properties of the spectrum of the linearized operator are proposed. The existence of eigenvalues which accumulate to 0 is proved in a mathematically rigorous fashion.The absence of continuous spectra and the completeness of eigenfunctions for the operators reduced by spherical harmonics is discussed.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48259341","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
Second bounded cohomology and WWPD 二次有界上同与WWPD
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-01-04 DOI: 10.1215/21562261-2021-0017
M. Handel, L. Mosher
{"title":"Second bounded cohomology and WWPD","authors":"M. Handel, L. Mosher","doi":"10.1215/21562261-2021-0017","DOIUrl":"https://doi.org/10.1215/21562261-2021-0017","url":null,"abstract":"Given a group acting on a Gromov hyperbolic space, Bestvina and Fujiwara introduced the WPD property --- weak proper discontinuity --- for studying the 2nd bounded cohomology of the group. We carry out a more general study of second bounded cohomology using a 'really' weak property discontinuity property known as WWPD that was introduced by Bestvina, Bromberg, and Fujiwara.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45184575","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: 6
Two applications of strong hyperbolicity 强双曲性的两个应用
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-01-03 DOI: 10.1215/21562261-2019-0002
B. Nica
{"title":"Two applications of strong hyperbolicity","authors":"B. Nica","doi":"10.1215/21562261-2019-0002","DOIUrl":"https://doi.org/10.1215/21562261-2019-0002","url":null,"abstract":"We present two analytic applications of the fact that a hyperbolic group can be endowed with a strongly hyperbolic metric. The first application concerns the crossed-product C*-algebra defined by the action of a hyperbolic group on its boundary. We construct a natural time flow, involving the Busemann cocycle on the boundary. This flow has a natural KMS state, coming from the Hausdorff measure on the boundary, which is furthermore unique when the group is torsion-free. The second application is a short new proof of the fact that a hyperbolic group admits a proper isometric action on an $ell^p$-space, for large enough $p$.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/21562261-2019-0002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42898363","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
On some spectral properties of the weighted ∂¯-Neumann operator 关于加权∂¯-Neumann算子的一些谱性质
IF 0.6 4区 数学
Kyoto Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.1215/21562261-2019-0013
F. Berger, F. Haslinger
{"title":"On some spectral properties of the weighted ∂¯-Neumann operator","authors":"F. Berger, F. Haslinger","doi":"10.1215/21562261-2019-0013","DOIUrl":"https://doi.org/10.1215/21562261-2019-0013","url":null,"abstract":"We study necessary conditions for compactness of the weighted ∂-Neumann operator on the space L2(Cn, e−φ) for a plurisubharmonic function φ. Under the assumption that the corresponding weighted Bergman space of entire functions has infinite dimension, a weaker result is obtained by simpler methods. Moreover, we investigate (non-) compactness of the ∂-Neumann operator for decoupled weights, which are of the form φ(z) = φ1(z1) + · · ·+ φn(zn). More can be said if every ∆φj defines a nontrivial doubling measure.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/21562261-2019-0013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66025736","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
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