81 citations · 387 across the 58 of their papers we have counts for
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Geometric Methods In Heegaard Theory
Tobias Holck Colding, David Gabai, Daniel Ketover
We survey some recent geometric methods for studying Heegaard splittings of 3-manifolds
On the classification of Heegaard splittings
Tobias Holck Colding, David Gabai, Daniel Ketover
The long standing classification problem in the theory of Heegaard splittings of 3-manifolds is to exhibit for each closed 3-manifold a complete list, without duplication, of all i…
Effective Finiteness of irreducible Heegaard splittings of non Haken 3-manifolds
Tobias Holck Colding, David Gabai
The main result is a short effective proof of Tao Li's theorem that a closed non Haken hyperbolic 3-manifold N has at most finitely many irreducible Heegaard splittings.
Metrics without Morse index bounds
Tobias H. Colding, Nancy Hingston
On any surface we give an example of a metric that contains simple closed geodesics with arbitrary high Morse index. Similarly, on any 3-manifold we give an example of a metric tha…