John Kalliongis's Books

Diffeomorphisms of Elliptic 3-Manifolds

By: Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein

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Diffeomorphisms of Elliptic 3-Manifolds

By: Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein

This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background

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Page Count

163

Publisher

Springer

Published Date

ISBN 10

364231564X

ISBN 13

9783642315640

Spaces of Homotopy Self-Equivalences - A Survey

By: John W. Rutter

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Spaces of Homotopy Self-Equivalences - A Survey

By: John W. Rutter

This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge.

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Page Count

180

Publisher

Springer

Published Date

ISBN 10

3540691359

ISBN 13

9783540691358

Groups of Homotopy Self-Equivalences and Related Topics

Proceedings of the Workshop on Groups of Homotopy Self-Equivalences and Related Topics, September 5-11, 1999, University of Milan, Gargnano, Italy

By: Ken-ichi Maruyama,John W. Rutter

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Groups of Homotopy Self-Equivalences and Related Topics

Proceedings of the Workshop on Groups of Homotopy Self-Equivalences and Related Topics, September 5-11, 1999, University of Milan, Gargnano, Italy

By: Ken-ichi Maruyama,John W. Rutter

This volume offers the proceedings from the workshop held at the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises the articles relating current research on the group of homotopy self-equivalences, homotopy of function spaces, rational homotopy theory, classification of homotopy types, and equivariant homotopy theory. Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J.W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.

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Page Count

330

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826832

ISBN 13

9780821826836

Diffeomorphisms of Elliptic 3-Manifolds

By: Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein

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Diffeomorphisms of Elliptic 3-Manifolds

By: Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

163

Publisher

Springer

Published Date

ISBN 10

364231564X

ISBN 13

9783642315640

Book's by John Kalliongis

Diffeomorphisms of Elliptic 3-Manifolds

Diffeomorphisms of Elliptic 3-Manifolds

Spaces of Homotopy Self-Equivalences - A Survey

Spaces of Homotopy Self-Equivalences - A Survey

Groups of Homotopy Self-Equivalences and Related Topics

Groups of Homotopy Self-Equivalences and Related Topics

Diffeomorphisms of Elliptic 3-Manifolds

Diffeomorphisms of Elliptic 3-Manifolds

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