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arxiv: 0706.0599 · v2 · submitted 2007-06-05 · 🧮 math.GT

High distance Heegaard splittings via fat train tracks

classification 🧮 math.GT
keywords criteriondistanceheegaardmanifoldssplittingstrackstrainapply
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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 the three sphere.

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