The Asymptotic Behaviour of Heegaard Genus
نویسنده
چکیده
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 a function of their degree. This was encoded in the following definitions.
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The Heegaard Genus of Amalgamated 3-manifolds
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