scholarly journals Smoothly embedding Seifert fibered spaces in $S^4$

2020 ◽  
Vol 373 (7) ◽  
pp. 4933-4974
Author(s):  
Ahmad Issa ◽  
Duncan McCoy
Keyword(s):  
Seifert Fibered Spaces

scholarly journals L-space intervals for graph manifolds and cables

2017 ◽  
Vol 153 (5) ◽  
pp. 1008-1049 ◽  
Author(s):  
Sarah Dean Rasmussen
Keyword(s):  
Recursive Formula ◽  
Dehn Filling ◽  
Graph Manifold ◽  
Seifert Fibered Spaces ◽  
Graph Manifolds ◽  
Special Case ◽  
Space Interval

We present a graph manifold analog of the Jankins–Neumann classification of Seifert fibered spaces over$S^{2}$admitting taut foliations, providing a finite recursive formula to compute the L-space Dehn-filling interval for any graph manifold with torus boundary. As an application of a generalization of this result to Floer simple manifolds, we compute the L-space interval for any cable of a Floer simple knot complement in a closed three-manifold in terms of the original L-space interval, recovering a result of Hedden and Hom as a special case.

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