(Virtual) Bridges 2020: "Everted Embeddings"

 Knot 818 in surfaces of genus 4.
Borromean Rings in surfaces of genus 3.
  

Abstract:  Every mathematical knot or link can be embedded crossing-free in the 2-manifold surface of a handle-body of appropriate genus.  This is an investigation of how such an embedding changes when the surface is everted.  The cases studied concern Knot 818 embedded in surfaces of genus 4 and the Borromean rings in surfaces of genus 3.

Introductory YouTube Video (URL)
Introductory
Powerpoint Presentation with explanatory text (PPT)
Powerpoint Presentation with voice-over (PPT)
Powerpoint Presentation with explanatory text below slides (PPT)
Proceedings Paper (PDF)
Extended PowerPoint Presentation 45 Slides with explanatory text (PPT)


Last update of this page: 2020/07/25
Page Editor:  Carlo H. Séquin