The mathematical theory of knots and braids an introduction
This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested read...
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| Format: | eBook |
| Language: | English |
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Amsterdam [Netherlands]
North-Holland
1983, 1983
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| Series: | North-Holland mathematics studies
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| Subjects: | |
| Online Access: | |
| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- Some necessary group theory
- Some necessary topology
- Knots and pictures of knots
- Braids and the braid group
- Some connections between braids and links
- The group of a link
- Group rings
- Derivatives
- Alexander matrices
- Elementary ideal of Alexander matrix
- Alexander polynomial of a knot
- Alexander polynomial of a link
- Some matrix representations of the braid group
- Operations on braids and resulting links
- The group of a free endomorphism
- Alexander polynomials revisited
- Meridians and longitudes
- Symmetry of Alexander matrices of knots
- Symmetry of Alexander matrices of links
- Conjugacy of group automorphisms
- Plait representations of links
- A list of links
- Includes bibliographical references (289-292) and index