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High distance Heegaard splittings via fat train tracks |
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| Authors: | Martin Lustig |
| Institution: | a Mathématiques (LATP), Université P. Cézanne - Aix-Marseille III, Ave. Escad. Normandie-Niemen, 13397 Marseille 20, France b Department of Mathematics, Technion, Haifa, 32000 Israel |
| Abstract: | We define fat train tracks and use them to give a combinatorial criterion for the Hempel distance of Heegaard splittings for closed orientable 3-manifolds. We apply this criterion to 3-manifolds obtained from surgery on knots in S3. |
| Keywords: | Train tracks Curve complex Heegaard distance Heegaard splittings |
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