Stabilization of Heegaard splittings
classification
🧮 math.GT
math.DG
keywords
heegaardsplittingsstabilizationbecomecontroldeformationequivalentexamples
read the original abstract
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at most one stabilization. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.
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