Sign up or sign in
logo
  1. Topology and Dynamics
  2. Icon: chevron
  3. STDC
  4. Icon: chevron
  5. 2025

Geometric Topology

Icon: calendar Roman Aranda | 2025 Mar 07 from 03:30PM to 03:50PM (Eastern Time (US & Canada)) | Forbes 2074

‟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.