Subevent of Geometric Topology - Fri. PM
‟Multiplane diagrams of surfaces in 4-space” by Roman Aranda <jarandacuevas2@unl.edu>, University of Nebraska - Lincoln
Abstract:
Surfaces in 4-space can be described using tuples of b-string tangles called multiplane diagrams. In this talk, we will discuss local modifications for multiplane diagrams that affect the embedded surface in a controlled way. This talk will explore such operations in the context of bridge multisections. We show a uniqueness result for multiplane diagrams representing isotopic surfaces. If time permits, we will show that any n-valent graph with an n-edge coloring is the spine of a bridge multisection of an unknotted surface.