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Polynomial One-Cocycles for Knots and Closed Braids

5807.000

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AuthorFiedler Thomas
ISBN9789811210297
Published LanguageEnglish
Publication Year2019
PublisherWorld Scientific
BindingHardback
Original Price$98
Pages260
Ships By2-3 days

Description

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.

About the author
Univ Paul Sabatier, France

Additional information

Weight0.512 kg
Dimensions22.9 × 15.2 cm
Author

ISBN

Publisher

Pages

260

Ships By

2-3 days