2-knots and their groups

Author(s)

• Hillman, Jonathan A. (Jonathan Arthur)

Bibliographic Information

2-knots and their groups

Jonathan Hillman

（Australian Mathematical Society lecture series, 5）

Cambridge University Press, 1989

• : pbk

Other Title

Two-knots and their groups

Note

Bibliography: p. 150-163

Includes index

Description and Table of Contents

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.

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.

by "Nielsen BookData"

Details

• NCID: BA06797168
• ISBN:
  • 9780521378123
• LCCN: 88035266
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge [England] ; New York
• Pages/Volumes: x, 164 p.
• Size: 23 cm
• Classification:
  • LCC : QA612.2
  • DC19 : 514/.224
  • NDC8 : 415.2
• Subject Headings:
  • LCSH : Knot theory
• Parent Bibliography ID:
  • BA00549447