Title: Critical Heegaard surfaces obtained by amalgamation
Abstract: Critical surfaces are defined by Bachman as topological index 2 surfaces, generalizing incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. It gives critical Heegaard surfaces of non-minimal genus, for 3-manifolds which do not admit distinct Heegaard splittings (up to isotopy).
Publication Year: 2011
Publication Date: 2011-09-18
Language: en
Type: preprint
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Cited By Count: 1
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