Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: Jason Manning Committee members: Tara Holm; Timothy Riley.
Özet:
We investigate two ways in which a surface embedded or immersed in a manifold can reveal information about topology of the ambient space. In particular, we prove a special case of the Simple Loop Conjecture for 3-Manifolds and the study trisections of 4-manifolds from the perspectives of the mapping class group and the curve complex of a surface.