The asymptoic behaviour of Heegaard genus
The asymptoic behaviour of Heegaard genus
Heegaard splittings have recently been shown to be related to a number of important conjectures in 3-manifold theory: the virtually Haken conjecture, the positive virtual b1 conjecture and the virtually fibred conjecture [3]. Of particular importance is the rate at which the Heegaard genus of finite-sheeted covering spaces grows as …