Knot Theory Seminar:
The Alexander-Conway Polynomial and Homogenous Links
Recall that L+ , L , and L0 refer to three links with respective oriented
diagrams D+ , D , and D0 which dier in the neighborhood of one crossing
c, where D+ has
Knot Theory Seminar
Polynomial invariants: Alexander polynomial, properties,
November 18, 2011
Up until now, all of the link invariants we have studied to try and determine which knots are
equivalent have been numerical. Today, I will
Knot Theory: Surfaces without Boundary
October 21, 2011
What is a surface?
Torus is the surface of a donut, sphere is the surface of a ball. Need to be a bit more
careful than the surface of any 3-dimensional object. We really mean a 2-manif
Tabulation of Knots
Question: How rnany distinct priine knots (disregarding ehirality) are there
with n crossings?
Answer: Difcult. Determined up to n = 16 by Tl'iistlethwaite (verified by
Hoste and Weeks).
Tait: Created th