Involutions on Manifolds

Involutions on Manifolds
Title Involutions on Manifolds PDF eBook
Author Santiago Lopez de Medrano
Publisher Springer Science & Business Media
Pages 114
Release 2012-12-06
Genre Mathematics
ISBN 3642650120

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This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author's doctoral dissertation [54J written under the direction of Professor William Browder. The subject of fixed-paint-free involutions, as part of the subject of group actions on manifolds, has been an important source of problems, examples and ideas in topology for the last four decades, and receives renewed attention every time a new technical development suggests new questions and methods ([62, 8, 24, 63J). Here we consider mainly those properties of fixed-point-free involutions that can be best studied using the techniques of surgery on manifolds. This approach to the subject was initiated by Browder and Livesay. Special attention is given here to involutions of homotopy spheres, but even for this particular case, a more general theory is very useful. Two important related topics that we do not touch here are those of involutions with fixed points, and the relationship between fixed-point-free involutions and free Sl-actions. For these topics, the reader is referred to [23J, and to [33J, [61J, [82J, respectively. The two main problems we attack are those of classification of involutions, and the existence and uniqueness of invariant submanifolds with certain properties. As will be seen, these problems are closely related. If (T, l'n) is a fixed-point-free involution of a homotopy sphere l'n, the quotient l'n/Tis called a homotopy projective space.

Involutions on Manifolds

Involutions on Manifolds
Title Involutions on Manifolds PDF eBook
Author Ellen Rose Stone
Publisher
Pages 86
Release 1972
Genre Involutes (Mathematics)
ISBN

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Involutions of 3-manifolds with a 2-dimensional Fixed Point Set Component

Involutions of 3-manifolds with a 2-dimensional Fixed Point Set Component
Title Involutions of 3-manifolds with a 2-dimensional Fixed Point Set Component PDF eBook
Author Donald Keith Showers
Publisher
Pages 66
Release 1973
Genre Manifolds (Mathematics)
ISBN

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Ergebnisse der Mathematik und ihrer Grenzgebiete

Ergebnisse der Mathematik und ihrer Grenzgebiete
Title Ergebnisse der Mathematik und ihrer Grenzgebiete PDF eBook
Author Santiago López de Medrano
Publisher
Pages 102
Release 195?
Genre Manifolds (Mathematics)
ISBN 9780387050928

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PL Involutions of Some 3-manifolds

PL Involutions of Some 3-manifolds
Title PL Involutions of Some 3-manifolds PDF eBook
Author Myung Mi Myung
Publisher
Pages 94
Release 1970
Genre Topology
ISBN

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Involutions on Grassman Manifolds

Involutions on Grassman Manifolds
Title Involutions on Grassman Manifolds PDF eBook
Author Allen Henry Back
Publisher
Pages 250
Release 1977
Genre
ISBN

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PL Involutions on Lens Spaces and Other 3-manifolds

PL Involutions on Lens Spaces and Other 3-manifolds
Title PL Involutions on Lens Spaces and Other 3-manifolds PDF eBook
Author Paik Kee Kim
Publisher
Pages 80
Release 1973
Genre Manifolds (Mathematics)
ISBN

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