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Bestseller
BestsellerE-book
Author Michel, Françoise (Mathematician), author.

Title Higher-dimensional knots according to Michel Kervaire / Françoise Michel, Claude Weber.

Publication Info. Zurich : European Mathematical Society, [2017].
©2017

Item Status

Description 1 online resource.
Physical Medium polychrome
Description text file
Series EMS series of lectures in mathematics
EMS series of lectures in mathematics.
Bibliography Includes bibliographical references and indexes.
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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Knot theory.
Knot theory.
Differential topology.
Differential topology.
Genre/Form Electronic books.
Electronic book.
Added Author Weber, C. (Claude), author.
Other Form: Original 9783037191804 3037191805 (OCoLC)1001535196
ISBN 9783037196809 (electronic book)
3037196807 (electronic book)
9783037191804
3037191805