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2-Knots and their Groups

Part of Australian Mathematical Society Lecture Series

Author: Jonathan Hillman, University of Sydney

Date Published: March 1989
availability: Available
format: Paperback
isbn: 9780521378123

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Description

To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in S^T4, whose fundamental groups contain abelian normal subgroups. Their class contains the most geometrically appealing and best understood examples. Moreover, it is possible to apply work in algebraic methods to these problems. Work in four-dimensional topology is applied in later chapters to the problem of classifying 2-knots.

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Product details
- Date Published: March 1989
- format: Paperback
- isbn: 9780521378123
- length: 176 pages
- dimensions: 229 x 152 x 19 mm
- weight: 0.435kg
- availability: Available
Table of Contents
1. Knots and Related Manifolds
2. The Knot Group
3. Localization and Asphericity
4. The Rank 1 Case
5. The Rank 2 Case
6. Ascending Series and the Large Rank Cases
7. The Homotopy Type of M(K)
8. Applying Surgery to Determine the Knot.
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Author
Jonathan Hillman, University of Sydney