Seifert Fiberings

Seifert Fiberings
Author :
Publisher : American Mathematical Soc.
Total Pages : 418
Release :
ISBN-10 : 9780821852316
ISBN-13 : 0821852310
Rating : 4/5 (16 Downloads)

Book Synopsis Seifert Fiberings by : Kyung Bai Lee

Download or read book Seifert Fiberings written by Kyung Bai Lee and published by American Mathematical Soc.. This book was released on 2010-11-24 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seifert fiberings extend the notion of fiber bundle mappings by allowing some of the fibers to be singular. Away from the singular fibers, the fibering is an ordinary bundle with fiber a fixed homogeneous space. The singular fibers are quotients of this homogeneous space by distinguished groups of homeomorphisms. These fiberings are ubiquitous and important in mathematics. This book describes in a unified way their structure, how they arise, and how they are classified and used in applications. Manifolds possessing such fiber structures are discussed and range from the classical three-dimensional Seifert manifolds to higher dimensional analogues encompassing, for example, flat manifolds, infra-nil-manifolds, space forms, and their moduli spaces. The necessary tools not covered in basic graduate courses are treated in considerable detail. These include transformation groups, cohomology of groups, and needed Lie theory. Inclusion of the Bieberbach theorems, existence, uniqueness, and rigidity of Seifert fiberings, aspherical manifolds, symmetric spaces, toral rank of spherical space forms, equivariant cohomology, polynomial structures on solv-manifolds, fixed point theory, and other examples, exercises and applications attest to the breadth of these fiberings. This is the first time the scattered literature on singular fiberings is brought together in a unified approach. The new methods and tools employed should be valuable to researchers and students interested in geometry and topology.


Seifert Fiberings Related Books

Seifert Fiberings
Language: en
Pages: 418
Authors: Kyung Bai Lee
Categories: Mathematics
Type: BOOK - Published: 2010-11-24 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Seifert fiberings extend the notion of fiber bundle mappings by allowing some of the fibers to be singular. Away from the singular fibers, the fibering is an or
Group Actions on Manifolds
Language: en
Pages: 586
Authors: Reinhard Schultz
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based u
Homotopy Equivalences of 3-Manifolds and Deformation Theory of Kleinian Groups
Language: en
Pages: 238
Authors: Richard Douglas Canary
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Three volume narrative history of 20th century.
Low Dimensional Topology
Language: en
Pages: 331
Authors: Tomasz Mrowka
Categories: Mathematics
Type: BOOK - Published: 2009-01-01 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbo
Regents' Proceedings
Language: en
Pages: 474
Authors: University of Michigan. Board of Regents
Categories:
Type: BOOK - Published: 1996 - Publisher:

DOWNLOAD EBOOK