Remarks on Formal Knot Theory

Details Remarks on Formal Knot Theory Remarks on Formal Knot Theory

2006-05-23

arxiv.org/abs/math/0605622v1

Mathematics

Geometric Topology

LaTeX document, 35 pages, 21 figures

Scientific paper

This paper is an introduction to the state sum model for the Alexander-Conway polynomial that was introduced in the the author's book "Formal Knot Theory" (Princeton University Press, 1983). The article outlines how Alexander's original definition of the polynomial as the determinant of a matrix associated with the link diagram can be reformulated as a state summation over combinatorial configurations of the diagram. Facts about the state model, the Clock Theorem (that makes this model tick) and relations with other state models such as the bracket polynomial, are discussed. The paper includes a miniature introduction to Khovanov homology. This paper will appear in the forthcoming Dover republication of Formal Knot Theory.

Affiliated with

Also associated with

No associations

Rating

Remarks on Formal Knot Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on Formal Knot Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on Formal Knot Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182168