Anybody interested in working through

Knots, Links, Braids and 3-Manifolds

by V.V. Prasolov and A.B. Sossinsky

(subtitle: An Introduction to the New Invariants in Low-Dimensional Topology)

You can see it on Amazon at

http://www.amazon.com/Knots-Links-Braids-3-Manifolds-Low-Dimensional/dp/0821808982/ref=sr_1_5?s=books&ie=UTF8&qid=1325857644&sr=1-5The price is a little steep, but that's what you get with math books.

Look over the first few pages. This has been on my to-do list for a few years, but other things keep coming up. Right now, it's representation theory of Lie groups.

This is clearly a math book that uses knots as a tool, rather than a knot book like ABOK. You probably should have group theory and topology before trying it. I decided to post this because Xarax has started a thread about knot invariants like winding numbers.

The authors put solutions of some of the problems in the back, in support of their claim to be elementary.

Anyway, don't everyone respond at the same time. You will overwhelm the forum server.

Mike