Reidemeister扭转和可定向穿刺表面

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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J170595\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J170595","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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

微信好友朋友圈 QQ好友复制链接

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