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Multiplane diagrams of surfaces in 4-space

Roman Aranda ⟨jarandacuevas2@unl.edu⟩

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.

Scheduled for: 2025-03-07 03:30 PM: Roman Aranda

Status: Accepted

Collection: Geometric Topology

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