Knots and Skein Relations
Speaker: Jeff Boerner, University of Wisconsin-Stout
Date & Time:
12:00 PM - 1:00 PM
Owens Science Center (OWS 250)
Abstract: Mathematical knots are 1-dimensional objects placed in 3-dimensional space. Knots can move around freely, with the exception that they cannot pass through themselves. There are many types of knots and a fundamental goal of knot theory is to determine whether two given knots are distinct. A skein relation is a way to express a knot in terms of simpler knots and skein relations can be used to define functions on knots, called knot invariants. We will examine ways to distinguish two knots using knot invariants defined by skein relations.