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World Scientific Publishing Company

Polynomial One-cocycles for Knots and Closed Braids

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Product Code: 9789811210297
ISBN13: 9789811210297
Condition: New
$104.76

Polynomial One-cocycles for Knots and Closed Braids

$104.76
 
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.


Author: Thomas Fiedler
Publisher: World Scientific Publishing Company
Publication Date: Sep 26, 2019
Number of Pages: NA pages
Language: English
Binding: Hardcover
ISBN-10: 9811210292
ISBN-13: 9789811210297
 

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