Polynomial One-cocycles For Knots And Closed Braids
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A01=Thomas Fiedler
Author_Thomas Fiedler
Category=PBP
Conjugacy Classes of Braids
Diagrammatic 1-Cocycles
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Knot Theory
Low Dimensional Topology
Tetrahedron Equation
Product details
- ISBN 9789811210297
- Publication Date: 26 Sep 2019
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
