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State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections 状态相关延迟图：数值算法和投影动力学
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-04 DOI: 10.1080/10586458.2024.2337910
J. D. Mireles James, Francis C. Motta, Vincent Naudot
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引用次数: 0
Ropelength and Writhe Quantization of 12-Crossing Knots 12 交结的绳长和写量化
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-03 DOI: 10.1080/10586458.2024.2334378
Alexander R. Klotz, Caleb J. Anderson
{"title":"Ropelength and Writhe Quantization of 12-Crossing Knots","authors":"Alexander R. Klotz, Caleb J. Anderson","doi":"10.1080/10586458.2024.2334378","DOIUrl":"https://doi.org/10.1080/10586458.2024.2334378","url":null,"abstract":"The ropelength of a knot is the minimum length required to tie it. Computational upper bounds have previously been computed for every prime knot with up to 11 crossings. Here, we present ropelength...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"266 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140578546","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
Spectral Gap for the Cohomological Laplacian of SL3(ℤ) SL3(ℤ) 的同调拉普拉卡方的谱差距
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-03 DOI: 10.1080/10586458.2024.2333722
Marek Kaluba, Piotr Mizerka, Piotr W. Nowak
{"title":"Spectral Gap for the Cohomological Laplacian of SL3(ℤ)","authors":"Marek Kaluba, Piotr Mizerka, Piotr W. Nowak","doi":"10.1080/10586458.2024.2333722","DOIUrl":"https://doi.org/10.1080/10586458.2024.2333722","url":null,"abstract":"We show that the cohomological Laplacian in degree 1 in the group cohomology of SL3(Z) is a sum of hermitian squares in the algebra Mn(RG). We provide an estimate of the spectral gap for this Lapla...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587834","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
Roudneff’s Conjecture in Dimension 4 维 4 中的鲁德内夫猜想
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-02 DOI: 10.1080/10586458.2024.2334379
Rangel Hernández-Ortiz, Kolja Knauer, Luis Pedro Montejano, Manfred Scheucher
{"title":"Roudneff’s Conjecture in Dimension 4","authors":"Rangel Hernández-Ortiz, Kolja Knauer, Luis Pedro Montejano, Manfred Scheucher","doi":"10.1080/10586458.2024.2334379","DOIUrl":"https://doi.org/10.1080/10586458.2024.2334379","url":null,"abstract":"J.-P. Roudneff conjectured in 1991 that every arrangement of n≥2d+1≥5 pseudohyperplanes in the real projective space Pd has at most ∑i=0d−2(n−1i) complete cells (i.e., cells bounded by each hyperpl...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140578889","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
Coxeter Quotients of Knot Groups through 16 Crossings 通过 16 个交叉点的结群考斯特四分体
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-03-12 DOI: 10.1080/10586458.2024.2309507
Ryan Blair, Alexandra Kjuchukova, Nathaniel Morrison
{"title":"Coxeter Quotients of Knot Groups through 16 Crossings","authors":"Ryan Blair, Alexandra Kjuchukova, Nathaniel Morrison","doi":"10.1080/10586458.2024.2309507","DOIUrl":"https://doi.org/10.1080/10586458.2024.2309507","url":null,"abstract":"We find explicit maximal rank Coxeter quotients for the knot groups of 595,515 out of the 1,701,936 knots through 16 crossings. We thus calculate the bridge numbers and verify Cappell and Shaneson’...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149093","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
Crepant Resolutions, Mutations, and the Space of Potentials 克利潘决议、变异和潜能空间
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-02-11 DOI: 10.1080/10586458.2024.2308246
Mary Barker, Benjamin Standaert, Ben Wormleighton
{"title":"Crepant Resolutions, Mutations, and the Space of Potentials","authors":"Mary Barker, Benjamin Standaert, Ben Wormleighton","doi":"10.1080/10586458.2024.2308246","DOIUrl":"https://doi.org/10.1080/10586458.2024.2308246","url":null,"abstract":"The McKay correspondence has had much success in studying resolutions of 3-fold quotient singularities through a wide range of tools coming from geometry, combinatorics, and representation theory. ...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139757063","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
Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases 通过相对标记基对阙环的希尔伯特方案的开盖和 Lex 点
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-02-01 DOI: 10.1080/10586458.2024.2309517
Cristina Bertone, Francesca Cioffi, Matthias Orth, Werner M. Seiler
{"title":"Open Covers and Lex Points of Hilbert Schemes Over Quotient Rings via Relative Marked Bases","authors":"Cristina Bertone, Francesca Cioffi, Matthias Orth, Werner M. Seiler","doi":"10.1080/10586458.2024.2309517","DOIUrl":"https://doi.org/10.1080/10586458.2024.2309517","url":null,"abstract":"We introduce the notion of a relative marked basis over quasi-stable ideals, together with constructive methods and a functorial interpretation, developing computational methods for the study of Hi...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"14 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139756855","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
Structures in HOMFLY-PT Homology HOMFLY-PT 同源结构
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-01-07 DOI: 10.1080/10586458.2023.2300412
Alex Chandler, Eugene Gorsky
{"title":"Structures in HOMFLY-PT Homology","authors":"Alex Chandler, Eugene Gorsky","doi":"10.1080/10586458.2023.2300412","DOIUrl":"https://doi.org/10.1080/10586458.2023.2300412","url":null,"abstract":"We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the sl(2) action defined by the secon...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"13 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139398010","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
A Cable Knot and BPS-Series II 电缆结和 BPS 系列 II
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-01-04 DOI: 10.1080/10586458.2023.2300432
John Chae
{"title":"A Cable Knot and BPS-Series II","authors":"John Chae","doi":"10.1080/10586458.2023.2300432","DOIUrl":"https://doi.org/10.1080/10586458.2023.2300432","url":null,"abstract":"This is a companion paper to earlier work of the author, which generalizes to an infinite family of (2,2w+1)-cabling of the figure eight knot (|w|>3) and proposes general formulas for the two-varia...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"247 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139463846","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
Earthquakes on the Once-Punctured Torus 曾经被穿透的火炬上的地震
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-01-04 DOI: 10.1080/10586458.2023.2294491
Grace S. Garden
{"title":"Earthquakes on the Once-Punctured Torus","authors":"Grace S. Garden","doi":"10.1080/10586458.2023.2294491","DOIUrl":"https://doi.org/10.1080/10586458.2023.2294491","url":null,"abstract":"We study earthquake deformations on Teichmüller space associated with simple closed curves of the once-punctured torus. We describe two methods to get an explicit form of the earthquake deformation...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139102619","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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