Incompressible surfaces and connected sum of knots

1998 ◽  
Vol 07 (07) ◽  
pp. 955-965 ◽  
Author(s):  
Yoav Moriah
2009 ◽  
Vol 18 (08) ◽  
pp. 1081-1087 ◽  
Author(s):  
YANNAN LI

Suppose k is a connected sum of two knots, one of which admits a 2-string essential free tangle decomposition, then the exterior of k contains an incompressible surface of genus n for each positive integer n.


1985 ◽  
Vol 79 (2) ◽  
pp. 225-246 ◽  
Author(s):  
A. Hatcher ◽  
W. Thurston

2017 ◽  
Vol 359 (2) ◽  
pp. 535-601 ◽  
Author(s):  
Thaisa C. da C. Guio ◽  
Hans Jockers ◽  
Albrecht Klemm ◽  
Hung-Yu Yeh

2014 ◽  
Vol 14 (6) ◽  
pp. 3281-3303 ◽  
Author(s):  
Jack S Calcut ◽  
Patrick V Haggerty
Keyword(s):  

2017 ◽  
Vol 24 (2) ◽  
pp. 1183-1245 ◽  
Author(s):  
Kristen Hendricks ◽  
Ciprian Manolescu ◽  
Ian Zemke

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