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Higher-Dimensional Knots According t...

Michel, Françoise,

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Higher-Dimensional Knots According to Michel Kervaire

Record Type:	Electronic resources : Monograph/item
Title/Author:	Higher-Dimensional Knots According to Michel Kervaire/ Françoise Michel, Claude Weber
Author:	Michel, Françoise,
other author:	Weber, Claude,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2017,
Description:	1 online resource (144 pages)
Subject:	Algebraic topology - Congresses. -
Online resource:	https://doi.org/10.4171/180
Online resource:	https://www.ems-ph.org/img/books/michel_mini.jpg
ISBN:	9783037196809

Higher-Dimensional Knots According to Michel Kervaire
Michel, Françoise,

Higher-Dimensional Knots According to Michel Kervaire[electronic resource] /Françoise Michel, Claude Weber - Zuerich, Switzerland :European Mathematical Society Publishing House,2017 - 1 online resource (144 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196809

Standard No.: 10.4171/180doiSubjects--Topical Terms:

1575359
Algebraic topology
--Congresses.

Higher-Dimensional Knots According to Michel Kervaire
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