Abstract

It is known that, for a maximal collection [Formula: see text] of pairwise disjoint non-parallel essential annuli in a handlebody of genus 2, [Formula: see text]. We show that for a maximal collection [Formula: see text] of pairwise disjoint non-parallel essential annuli in a handlebody of genus n (≥ 3), [Formula: see text], and the bound is best possible.

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