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
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
Journal title :
Topology and its Applications
