Modified symmetrized integral in G-coalgebras

IF 0.3 4区 数学 Q4 MATHEMATICS Journal of Knot Theory and Its Ramifications Pub Date : 2024-01-24 DOI:10.1142/s0218216523500827
Nathan Geer, Ngoc Phu Ha, Bertrand Patureau-Mirand
{"title":"Modified symmetrized integral in G-coalgebras","authors":"Nathan Geer, Ngoc Phu Ha, Bertrand Patureau-Mirand","doi":"10.1142/s0218216523500827","DOIUrl":null,"url":null,"abstract":"<p>For <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>G</mi></math></span><span></span> a commutative group, we give a purely Hopf <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>G</mi></math></span><span></span>-coalgebra construction of <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>G</mi></math></span><span></span>-colored <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mn>3</mn></math></span><span></span>-manifolds invariants using the notion of modified integral.</p>","PeriodicalId":54790,"journal":{"name":"Journal of Knot Theory and Its Ramifications","volume":"24 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Knot Theory and Its Ramifications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0218216523500827","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

For G a commutative group, we give a purely Hopf G-coalgebra construction of G-colored 3-manifolds invariants using the notion of modified integral.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
G 考量中的修正对称积分
对于交换群 G,我们利用修正积分的概念给出了一个纯霍普夫 G-代数构造的 G 色 3-manifolds不变式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
0.80
自引率
40.00%
发文量
127
审稿时长
4-8 weeks
期刊介绍: This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. Our stance is interdisciplinary due to the nature of the subject. Knot theory as a core mathematical discipline is subject to many forms of generalization (virtual knots and links, higher-dimensional knots, knots and links in other manifolds, non-spherical knots, recursive systems analogous to knotting). Knots live in a wider mathematical framework (classification of three and higher dimensional manifolds, statistical mechanics and quantum theory, quantum groups, combinatorics of Gauss codes, combinatorics, algorithms and computational complexity, category theory and categorification of topological and algebraic structures, algebraic topology, topological quantum field theories). Papers that will be published include: -new research in the theory of knots and links, and their applications; -new research in related fields; -tutorial and review papers. With this Journal, we hope to serve well researchers in knot theory and related areas of topology, researchers using knot theory in their work, and scientists interested in becoming informed about current work in the theory of knots and its ramifications.
期刊最新文献
Computation of the knot symmetric quandle and its application to the plat index of surface-links Coefficients of Catalan states of lattice crossing II: Applications of ΘA-state expansions Knot quandle decomposition along a torus Heegaard Floer invariants for cyclic 3-orbifolds Presentations of diquandles and diquandle coloring invariants for solid torus knots and links
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1