Lens spaces obtainable by surgery on doubly primitive knots

Ichihara, Kazuhiro; Saito, Toshio

doi:10.2140/agt.2007.7.1949

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Lens spaces obtainable by surgery on doubly primitive knots

Kazuhiro Ichihara and Toshio Saito

Algebraic & Geometric Topology 7 (2007) 1949–1962

DOI: 10.2140/agt.2007.7.1949

arXiv: 0708.3347

Abstract

In this paper, we consider which lens spaces are obtainable by Dehn surgery described by Berge on doubly primitive knots. An algorithm is given to decide whether a given lens space is obtainable by such a surgery. Also included is a complete characterization of such surgeries yielding lens spaces with Klein bottles.

Keywords

lens space surgery, doubly primitive knot

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 57M27

References

Publication

Received: 29 August 2007

Accepted: 26 October 2007

Published: 18 December 2007

Authors

Kazuhiro Ichihara
School of Mathematics Education Nara University of Education Takabatake-cho, Nara 630-8528 Japan
http://mailsrv.nara-edu.ac.jp/~ichihara/index.html
Toshio Saito
Graduate School of Humanities and Sciences Nara Women’s University Kitauoyanishi-machi, Nara 630-8506 Japan

Volume 7, issue 4 (2007)