Polynomial One-cocycles For Knots And Closed Braids
Seiten
2019
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-1029-7 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-1029-7 (ISBN)
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.
| Erscheinungsdatum | 12.09.2019 |
|---|---|
| Reihe/Serie | Series on Knots & Everything ; 64 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 981-12-1029-2 / 9811210292 |
| ISBN-13 | 978-981-12-1029-7 / 9789811210297 |
| Zustand | Neuware |
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