Topology Seminar: Prof. Masao Hara
- Date: 10/05/2011
- Time: 15:00
University of British Columbia
minimal crossing diagram and Jones polynomial
Abstract:
It seemed quite difficult to determined crossing number of
a link until Jones discovered a new polynomial invariant. Important
results about crossing number of a link were shown after Kauffman gave a
method for calculating Jones polynomial.
I will survey the relation between the reduced degree of Jones
polynomial of a link and its crossing number and discuss Jones
polynomial of a pretzel link. I will introduce an adequate diagram and
discuss minimality of a diagram from the viewpoint of it. I will discuss
the difference between the reduced degrees of Jones polynomials of
pretzel links and their crossing numbers, and whether Jones polynomial
is a complete invariant on alternating pretzel knots.
For more information please visit UBC Mathematics Department