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Petal projections and open books

Year: 2023

Presenter Name: Nathaniel Stevenson

Petal projections provide a way to describe knots in the 3-sphere using combinatorial information. In this talk we will discuss a generalization of this notion to knots in arbitrary three-dimensional spaces. In order to do this we will equip our spaces with open book decompositions, which are a way of decomposing a 3-dimensional space into a collection of 2-dimensional pages and a 1-dimensional binding. We will outline a proof showing that all knots can be represented in this way, and discuss further research directions.
University / Institution: Brigham Young University
Type: Oral
Format: In Person
SESSION C (1:45-3:15PM)
Area of Research: Science & Technology
Faculty Mentor: Mark Hughes
Location: Alumni House, SORENSON ROOM (1:45pm)