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Higher-Dimensional Knots According to Michel Kervaire
 
Françoise Michel Université Paul Sabatier, Toulouse, France
Claude Weber Université de Genève, Switzerland
A publication of European Mathematical Society
Higher-Dimensional Knots According to Michel Kervaire
Softcover ISBN:  978-3-03719-180-4
Product Code:  EMSSERLEC/28
List Price: $38.00
AMS Member Price: $30.40
Please note AMS points can not be used for this product
Higher-Dimensional Knots According to Michel Kervaire
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Higher-Dimensional Knots According to Michel Kervaire
Françoise Michel Université Paul Sabatier, Toulouse, France
Claude Weber Université de Genève, Switzerland
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-180-4
Product Code:  EMSSERLEC/28
List Price: $38.00
AMS Member Price: $30.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 282017; 144 pp
    MSC: Primary 57; 32

    Michel Kervaire wrote six papers which can be considered fundamental to the development of higher-dimensional knot theory. They are not only of historical interest but naturally introduce some of the essential techniques in this fascinating theory.

    This book is written to provide graduate students with the basic concepts necessary to read texts in higher-dimensional knot theory and its relations with singularities. The first chapters are devoted to a presentation of Pontrjagin's construction, surgery, and the work of Kervaire and Milnor on homotopy spheres. The authors explore Kervaire's fundamental work on the group of a knot, knot modules, and knot cobordism and then consider developments due to Levine. Tools such as open books, handlebodies, and plumbings, which are often used but hard to find in original articles, are presented in appendices.

    The authors conclude with a description of the Kervaire invariant and the consequences of the Hill–Hopkins–Ravenel results in knot theory.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students interested in higher-dimensional knot theory.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 282017; 144 pp
MSC: Primary 57; 32

Michel Kervaire wrote six papers which can be considered fundamental to the development of higher-dimensional knot theory. They are not only of historical interest but naturally introduce some of the essential techniques in this fascinating theory.

This book is written to provide graduate students with the basic concepts necessary to read texts in higher-dimensional knot theory and its relations with singularities. The first chapters are devoted to a presentation of Pontrjagin's construction, surgery, and the work of Kervaire and Milnor on homotopy spheres. The authors explore Kervaire's fundamental work on the group of a knot, knot modules, and knot cobordism and then consider developments due to Levine. Tools such as open books, handlebodies, and plumbings, which are often used but hard to find in original articles, are presented in appendices.

The authors conclude with a description of the Kervaire invariant and the consequences of the Hill–Hopkins–Ravenel results in knot theory.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students interested in higher-dimensional knot theory.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.