School Seminars and Colloquia

The Alexander polynomial of knots and tangles

Algebra/Geometry/Topology Seminar
Note the change of time!

by Stephen Bigelow

Institution: UCSB
Date: Thu 26th February 2009
Time: 3:30 PM
Location: Russell Love Theatre

Abstract: In 1923, Alexander discovered the first polynomial knot invariant. Certain local changes to a knot affect the Alexander polynomial in predictable ways. Until recently, there was no Alexander invariant of the local pieces of a knot, or "tangles". Now Dror Bar-Natan has defined an Alexander invariant of a "circuit algebra" which is a super-generalization of knots, tangles, braids and more. I will attempt to explain this, with pictures and examples.

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