Higher-dimensional knots according to Michel Kervaire
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 to 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…
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- Full title :Higher-dimensional knots according to Michel Kervaire / Françoise Michel, Claude Weber
Summary
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 to 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. We pursue with Kervaire's fundamental work on the group of a knot, knot modules and knot cobordism. We add developments due to Levine. Tools (like open books, handlebodies, plumbings, ...) often used but hard to find in original articles are presented in appendices. We conclude with a description of the Kervaire invariant and the consequences of the Hill-Hopkins-Ravenel results in knot theory.
Read More ↓Edition Statements
- Publication Date:©2017
Publication Statements
- Publisher(s):European Mathematical Society
- Place of Publication:Zurich
- Language:eng
- Publication Date:©2017
The Physical Object
- Description:1 online resource.
Edition Identifiers
- ISBN:9783037196809, 3037196807
- oclc:ocn994145808
- LC Classification:QA612.2
- Dewey Decimal:514/.2242
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