Polynomial One-cocycles For Knots And Closed Braids

Polynomial One-cocycles For Knots And Closed Braids

Thomas Fiedler

Format: Print Book

ISBN: 9789811210297

  • SGD 155.15
    Unit price per 
Tax included.

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.

Format: Hardcover
No of Pages: 260
Imprint: World Scientific
Publication date: 20190828
Series: Series On Knots And Everything

We Also Recommend