NameJung Hoon Lee
AffiliationChonbuk National University
Talk typeSession
TimeJan 11 13:50~14:30
TitleCritical Heegaard surfaces obtained by amalgamation
Critical surfaces are defined by Bachman as topological index two surfaces, generalizing incompressible surfaces and strongly irreducible surfaces. In this talk 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).