Reidemeister扭转和可定向穿刺表面

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI:10.4134/JKMS.J170595

E. Dirican, Y. Sozen

{"title":"Reidemeister扭转和可定向穿刺表面","authors":"E. Dirican, Y. Sozen","doi":"10.4134/JKMS.J170595","DOIUrl":null,"url":null,"abstract":". Let Σ g,n,b denote the orientable surface obtained from the closed orientable surface Σ g of genus g ≥ 2 by deleting the interior of n ≥ 1 distinct topological disks and b ≥ 1 points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface Σ g,n,b in terms of Reide- meister torsion of the closed surface Σ g , Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"55 1","pages":"1005-1018"},"PeriodicalIF":0.7000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES\",\"authors\":\"E. Dirican, Y. Sozen\",\"doi\":\"10.4134/JKMS.J170595\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let Σ g,n,b denote the orientable surface obtained from the closed orientable surface Σ g of genus g ≥ 2 by deleting the interior of n ≥ 1 distinct topological disks and b ≥ 1 points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface Σ g,n,b in terms of Reide- meister torsion of the closed surface Σ g , Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.\",\"PeriodicalId\":49993,\"journal\":{\"name\":\"Journal of the Korean Mathematical Society\",\"volume\":\"55 1\",\"pages\":\"1005-1018\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Korean Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J170595\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J170595","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

．设Σ g,n,b表示通过删除n≥1个不同拓扑盘和b≥1个点的内部，由g≥2属的封闭可定向曲面Σ g得到的可定向曲面。本文利用辛链配合物的概念，建立了一个计算曲面Σ g,n,b的Reidemeister扭转的公式，用封闭曲面Σ g的Reidemeister扭转、盘的Reidemeister扭转和穿孔盘的Reidemeister扭转来表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES

. Let Σ g,n,b denote the orientable surface obtained from the closed orientable surface Σ g of genus g ≥ 2 by deleting the interior of n ≥ 1 distinct topological disks and b ≥ 1 points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface Σ g,n,b in terms of Reide- meister torsion of the closed surface Σ g , Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).