|Name||Jung Hoon Lee|
|Affiliation||Chonbuk National University|
|Time||Jan 11 13:50~14:30|
|Title||Critical 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).