Polynomial One-cocycles For Knots And Closed Braids, Hardback Book

Polynomial One-cocycles For Knots And Closed Braids Hardback

Part of the Series on Knots & Everything series

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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 transformed into knots in the solid torus without loss of information.

It turns out that knots in the solid torus have a particular rich topological moduli space.

It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.

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