2-Knots and their Groups by Jonathan Hillman (PDF)

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.

User’s Reviews

Product description Review “This is a book which belongs on the shelves of every knot theorist, indeed of everyone interested in the interplay between algebra and geometric topology. The subject is hard but the treatment is masterly.” Mathematical Reviews Book Description To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in S^T4.

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