Title of article
Hyperbolic -knots in with crosscap number two and tunnel number one
Author/Authors
Vيctor and Ramيrez-Losada، نويسنده , , Enrique and Valdez-Sلnchez، نويسنده , , Luis G.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2009
Pages
19
From page
1463
To page
1481
Abstract
A knot in S 3 is said to have crosscap number two if it bounds a once-punctured Klein bottle but not a Moebius band. In this paper we give a method of constructing crosscap number two hyperbolic ( 1 , 2 ) -knots with tunnel number one which are neither 2-bridge nor ( 1 , 1 ) -knots. An explicit infinite family of such knots is discussed in detail.
Keywords
Once-punctured Klein bottles , Seifert Klein bottles , 1 ) -knot , Toroidal boundary slope , Klein bottle boundary slope , ( 1 , ( 1 , 2 ) -knot
Journal title
Topology and its Applications
Serial Year
2009
Journal title
Topology and its Applications
Record number
1582016
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