Stabilizations of Reducible Heegaard Splittings

Details Stabilizations of Reducible Heegaard Splittings Stabilizations of Reducible Heegaard Splittings

2004-09-26

arxiv.org/abs/math/0409497v2

Mathematics

Geometric Topology

79 pages, 26 figures

Scientific paper

C. Gordon conjectured that a connected sum of two Heegaard splittings is
stabilized if and only if one of the two factors is stabilized (Problem 3.91 in
Kirby's problem list). In this paper, we shall prove this conjecture.

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