Gordian Unlinks

Speaker
Joel Hass (UC Davis)
Date
08/06/2025 - 13:00 - 12:00Add to Calendar 2025-06-08 12:00:19 2025-06-08 13:00:00 Gordian Unlinks A knot or link made of rope has thickness and fixed length, but knot theory studies the rather different 1-dimensional loops. Distinguishing such objects requires different techniques than traditional knot theoryA gordian unlink is a thick unlink that cannot be split by an isotopy that preserves length and thickness. This means that no such isotopy moves the link so that any two components are separated by a plane. In this paper, we give the first examples of gordian unlinks. The existence of a gordian unknot is open  This is joint work with Jose Ayala    Math seminar room (building 216, room 201) and also on-line via zoom with the link https://biu-ac-il.zoom.us/j/82747834707 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Math seminar room (building 216, room 201) and also on-line via zoom with the link https://biu-ac-il.zoom.us/j/82747834707
Abstract

A knot or link made of rope has thickness and fixed length, but knot theory studies the rather different 1-dimensional loops. Distinguishing such objects requires different techniques than traditional knot theory
A gordian unlink is a thick unlink that cannot be split by an isotopy that preserves length and thickness. This means that no such isotopy moves the link so that any two components are separated by a plane. In this paper, we give the first examples of gordian unlinks. The existence of a gordian unknot is open 
 This is joint work with Jose Ayala  

 

תאריך עדכון אחרון : 29/05/2025