On the stabilisation height of fibre surfaces in S³
classification
🧮 math.GT
keywords
fibreheightstabilisationsurfacesurfacesattainfamilieshopf
read the original abstract
The stabilisation height of a fibre surface in the 3-sphere is the minimal number of Hopf plumbing operations needed to attain a stable fibre surface from the initial surface. We show that families of fibre surfaces related by iterated Stallings twists have unbounded stabilisation height.
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