Knot Theory Seminar:
The Alexander-Conway Polynomial and Homogenous Links
Fall 2011
Albert Ai
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,
examples
Michael Zhu
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
Andrew Tracer
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
Kristin Cordwell
10/14/2011
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