World Scientific Publishing Company
Polynomial One-cocycles for Knots and Closed Braids
Product Code:
9789811210297
ISBN13:
9789811210297
Condition:
New
$104.76
Polynomial One-cocycles for Knots and Closed Braids
$104.76
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.
| Author: Thomas Fiedler |
| Publisher: World Scientific Publishing Company |
| Publication Date: Sep 26, 2019 |
| Number of Pages: NA pages |
| Language: English |
| Binding: Hardcover |
| ISBN-10: 9811210292 |
| ISBN-13: 9789811210297 |