The prevalence of persistent tangles
 
 
Description: 

This talk addresses persistent tangles. These are tangles whose presence in a knot diagram forces that diagram to be knotted. We provide new
methods for constructing persistent tangles. Our techniques rely mainly on the existence of non-trivial colorings for the tangles in question.
Our main result in this article is that any knot admitting a non-trivial coloring gives rise to persistent tangles. Furthermore, we discuss when
these persistent tangles are non-trivial.

 

Date:  2019-10-23
Start Time:   15:00
Speaker:  Pedro Lopes (IST, Univ. Lisboa)
Institution:  Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa
Place:  Sala 5.5
Research Groups: -Geometry
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