Polynomial One-cocycles For Knots And Closed Braids

Author:   Thomas Fiedler (Univ Paul Sabatier, France)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   64
ISBN:  

9789811210297


Pages:   260
Publication Date:   26 September 2019
Format:   Hardback
Availability:   In Print   Availability explained
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Polynomial One-cocycles For Knots And Closed Braids


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Overview

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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Author:   Thomas Fiedler (Univ Paul Sabatier, France)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   64
ISBN:  

9789811210297


ISBN 10:   9811210292
Pages:   260
Publication Date:   26 September 2019
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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