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Canadian Journal of Mathematics-Journal Canadien De Mathematiques最新文献

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Tangle Equations, the Jones conjecture, slopes of surfaces in tangle complements, and q-deformed rationals 缠结方程，琼斯猜想，缠结补中曲面的斜率，和q变形的有理数
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-11-14 DOI: 10.4153/s0008414x23000755
Adam S. Sikora
{"title":"Tangle Equations, the Jones conjecture, slopes of surfaces in tangle complements, and <i>q</i>-deformed rationals","authors":"Adam S. Sikora","doi":"10.4153/s0008414x23000755","DOIUrl":"https://doi.org/10.4153/s0008414x23000755","url":null,"abstract":"We study systems of $2$-tangle equations which play an important role in the analysis of enzyme actions on DNA strands. We show that every system of framed tangle equations has at most one framed rational solution. Furthermore, we show that the Jones Unknot conjecture implies that if a system of tangle equations has a rational solution then that solution is unique among all $2$-tangles. This result potentially opens a door to a purely topological disproof of the Jones Unknot conjecture. We introduce the notion of the Kauffman bracket ratio ${T}_qin mathbb Q(q)$ of any $2$-tangle $T$ and we conjecture that for $q=1$ it is the slope of meridionally incompressible surfaces in $D^3-T$. We prove that conjecture for algebraic $T$. We also prove that for rational $T$, the brackets ${T}_q$ coincide with the $q$-rationals of Morier-Genoud-Ovsienko. Additionally, we relate systems of tangle equations to the Cosmetic Surgery Conjecture and the Nugatory Crossing Conjecture.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134953566","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
COMPACTIFICATIONS OF MODULI OF DEL PEZZO SURFACES VIA LINE ARRANGEMENT AND K-STABILITY 线排列与k -稳定性对del pezzo曲面模量的紧化
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-11-13 DOI: 10.4153/s0008414x23000743
JUNYAN ZHAO
{"title":"COMPACTIFICATIONS OF MODULI OF DEL PEZZO SURFACES VIA LINE ARRANGEMENT AND K-STABILITY","authors":"JUNYAN ZHAO","doi":"10.4153/s0008414x23000743","DOIUrl":"https://doi.org/10.4153/s0008414x23000743","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136347547","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 blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra 度量空间的爆破多项式:与稳定多项式、图及其距离谱的联系
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-11-09 DOI: 10.4153/s0008414x23000731
Projesh Nath Choudhury, Apoorva Khare
{"title":"The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra","authors":"Projesh Nath Choudhury, Apoorva Khare","doi":"10.4153/s0008414x23000731","DOIUrl":"https://doi.org/10.4153/s0008414x23000731","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191525","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
A NEW WAY TO TACKLE A CONJECTURE OF RÉMOND 一种解决rÉmond猜想的新方法
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-31 DOI: 10.4153/s0008414x2300072x
ARNAUD PLESSIS
{"title":"A NEW WAY TO TACKLE A CONJECTURE OF RÉMOND","authors":"ARNAUD PLESSIS","doi":"10.4153/s0008414x2300072x","DOIUrl":"https://doi.org/10.4153/s0008414x2300072x","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135813586","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 Frobenius semiradical, generic stabilisers, and Poisson centre for nilradicals 弗罗贝尼乌斯半自由基、通用稳定剂和零自由基泊松中心
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-27 DOI: 10.4153/s0008414x23000718
Dmitri I. Panyushev
{"title":"The Frobenius semiradical, generic stabilisers, and Poisson centre for nilradicals","authors":"Dmitri I. Panyushev","doi":"10.4153/s0008414x23000718","DOIUrl":"https://doi.org/10.4153/s0008414x23000718","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136261894","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
Lower bounds on Bourgain’s constant for harmonic measure 谐波测度的布尔甘常数下界
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-27 DOI: 10.4153/s0008414x2300069x
Matthew Badger, Alyssa Genschaw
{"title":"Lower bounds on Bourgain’s constant for harmonic measure","authors":"Matthew Badger, Alyssa Genschaw","doi":"10.4153/s0008414x2300069x","DOIUrl":"https://doi.org/10.4153/s0008414x2300069x","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136262052","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
PRIME REPRESENTATIONS IN THE HERNANDEZ-LECLERC CATEGORY: CLASSICAL DECOMPOSITIONS hernandez-leclerc范畴中的素数表示:经典分解
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-27 DOI: 10.4153/s0008414x23000706
Leon Barth, Deniz Kus
{"title":"PRIME REPRESENTATIONS IN THE HERNANDEZ-LECLERC CATEGORY: CLASSICAL DECOMPOSITIONS","authors":"Leon Barth, Deniz Kus","doi":"10.4153/s0008414x23000706","DOIUrl":"https://doi.org/10.4153/s0008414x23000706","url":null,"abstract":"We use the dual functional realization of loop algebras to study the prime irreducible objects in the Hernandez-Leclerc category for the quantum affine algebra associated to $mathfrak{sl}_{n+1}$. When the HL category is realized as a monoidal categorification of a cluster algebra cite{HL10,HL13}, these representations correspond precisely to the cluster variables and the frozen variables are minimal affinizations. For any height function, we determine the classical decomposition of these representations with respect to the Hopf subalgebra $mathbf{U}_q(mathfrak{sl}_{n+1})$ and describe the graded multiplicities of their graded limits in terms of lattice points of convex polytopes. Combined with cite{BCMo15} we obtain the graded decomposition of stable prime Demazure modules in level two integrable highest weight representations of the corresponding affine Lie algebra.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136233441","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
WEBS OF TYPE P p型网
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-27 DOI: 10.4153/s0008414x23000688
NICHOLAS DAVIDSON, JONATHAN R. KUJAWA, ROBERT MUTH
{"title":"WEBS OF TYPE P","authors":"NICHOLAS DAVIDSON, JONATHAN R. KUJAWA, ROBERT MUTH","doi":"10.4153/s0008414x23000688","DOIUrl":"https://doi.org/10.4153/s0008414x23000688","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136262225","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
ISOGENY GRAPHS ON SUPERSPECIAL ABELIAN VARIETIES: EIGENVALUES AND CONNECTION TO BRUHAT-TITS BUILDINGS 超特殊阿贝尔变体上的等基因图:特征值及其与bruhat-tits结构的联系
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-20 DOI: 10.4153/s0008414x23000676
YUSUKE AIKAWA, RYOKICHI TANAKA, TAKUYA YAMAUCHI
{"title":"ISOGENY GRAPHS ON SUPERSPECIAL ABELIAN VARIETIES: EIGENVALUES AND CONNECTION TO BRUHAT-TITS BUILDINGS","authors":"YUSUKE AIKAWA, RYOKICHI TANAKA, TAKUYA YAMAUCHI","doi":"10.4153/s0008414x23000676","DOIUrl":"https://doi.org/10.4153/s0008414x23000676","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135616818","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
CJM volume 75 issue 6 Cover and Front matter CJM第75卷第6期封面和封面问题
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-10-20 DOI: 10.4153/s0008414x23000639
{"title":"CJM volume 75 issue 6 Cover and Front matter","authors":"","doi":"10.4153/s0008414x23000639","DOIUrl":"https://doi.org/10.4153/s0008414x23000639","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135617498","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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