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Polynomial One-cocycles for Knots and Closed Braids

Polynomial One-cocycles for Knots and Closed Braids

Polynomial One-cocycles for Knots and Closed Braids

Thomas Fiedler

117,98 €
IVA incluido
Disponible
Editorial:
World Scientific Publishing Co Pte Ltd
Año de edición:
2019
Materia
Geometría
ISBN:
9789811210297
117,98 €
IVA incluido
Disponible

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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.

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