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Polynomial One-cocycles For Knots And Closed Braids by Thomas Fiedler (Univ Paul Sabatier, France) at Abbey's Bookshop,
Polynomial One-cocycles For Knots And Closed Braids
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Thomas Fiedler (Univ Paul Sabatier, France)

Polynomial One-cocycles For Knots And Closed Braids

Thomas Fiedler (Univ Paul Sabatier, France)

$176.99

Hardback

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English
World Scientific Publishing Co Pte Ltd
28 August 2019
Topology
Series: Series on Knots & Everything
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.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   64
ISBN:   9789811210297
ISBN 10:   9811210292
Series:   Series on Knots & Everything
Pages:   260
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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