An introduction to knot theory /
This volume is an introduction to mathematical Knot Theory; the theory of knots and links of simple closed curves in three-dimensional space. It consists of a selection of topics which graduate students have found to be a successful introduction to the field. Three distinct techniques are employed;...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[1997]
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| Series: | Graduate texts in mathematics ;
175. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- A beginning for Knot Theory
- Seifert surfaces and knot factorization
- The Jones polynomial
- Geometry of alternating links
- The Jones polynomial of an alternating link
- The Alexander polynomial
- Covering spaces
- The Conway polynomial, signatures and slice knots
- Cylic branched covers and the Goeritz matrix
- The Arf invariant and the Jones polynomial
- The fundamental group
- Obtaining three-manifolds by surgery on S3
- Three-manifold invariants from the Jones polynomial
- Methods for calculating quantum invariants
- Generalizations of the Jones polynomial
- Exploring the HOMFLY and Kauffman polynomials.