Flipping Heegaard splittings
Flipping Heegaard splittings
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Daniel Ketover, Rutgers University
In-Person Talk
In the 1930s, Reidemeister and Singer showed that any two听Heegaard surfaces in a three-manifold become isotopic after adding enough trivial handles. I will show how this topological result gives rise to听minimal surfaces of Morse index 2 in many ambient geometries.听 As an application, I鈥檒l show that the听number of genus g minimal surfaces in the round sphere tends to infinity as g does