Explicit Dehn filling and Heegaard splittings
Explicit Dehn filling and Heegaard splittings
We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fillings behave "as expected."Given a cusped hyperbolic 3-manifold X, and a Dehn filling whose meridian and longitude curves are longer than 2π(2g -1), we show that every genus g Heegaard splitting of the filled manifold is isotopic …