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.
General
| Imprint: |
World Scientific Publishing Co Pte Ltd
|
| Country of origin: |
Singapore |
| Series: |
Series on Knots & Everything, 64 |
| Release date: |
September 2019 |
| First published: |
2020 |
| Authors: |
Thomas Fiedler
|
| Format: |
Hardcover
|
| Pages: |
260 |
| ISBN-13: |
978-981-12-1029-7 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
|
| LSN: |
981-12-1029-2 |
| Barcode: |
9789811210297 |
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