Polynomial One-cocycles For Knots And Closed Braids

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under ''higher'' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be tra...