2-Knots and their Groups

Jonathan Hillman (Autor)

Buch | Hardcover

2002
Cambridge University Press (Verlag)
978-0-521-37173-5 (ISBN)

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2-Knots and their Groups

Jonathan Hillman

1989

Buch | Softcover

CHF 64, ⁵⁵

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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.

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.

Erscheint lt. Verlag	6.6.2002
Reihe/Serie	Australian Mathematical Society Lecture Series
Verlagsort	Cambridge
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-521-37173-2 / 0521371732
ISBN-13	978-0-521-37173-5 / 9780521371735
Zustand	Neuware