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math.GT2002★ 3 cited
The asymptotic behaviour of Heegaard genus
Marc Lackenby
Let M be a closed orientable 3-manifold with a negatively curved Riemannian metric. Let {M_i} be a collection of finite regular covers with degree d_i. (1) If the Heegaard genus of…
math.GT2002
Heegaard splittings, the virtually Haken conjecture and Property tau
Marc Lackenby
We examine three key conjectures in 3-manifold theory: the virtually Haken conjecture, the positive virtual b_1 conjecture and the virtually fibred conjecture. We explore the inter…