Seifert Manifolds PDF Download

Author: Peter Orlik
Publisher: Springer
ISBN: 3540379894
Category : Mathematics
Languages : en
Pages : 163

View

Book Description

Author: William H. Jaco
Publisher: American Mathematical Soc.
ISBN: 0821822209
Category : Fiber spaces
Languages : en
Pages : 204

View

Book Description
The main theorem of this monograph, or rather the "absolute" case of the main theorem, provides what is essentially a homotopy-classification of suitably "nondegenerate" maps of Seifert-fibered 3-manifolds into a sufficiently-large, compact, irreducible, orientable 3-manifold M.

Author: Nikolai Saveliev
Publisher: Walter de Gruyter
ISBN: 3110806355
Category : Mathematics
Languages : en
Pages : 212

View

Book Description

Author: Mark Jankins
Publisher:
ISBN:
Category : Manifolds (Mathematics).
Languages : en
Pages : 124

View

Book Description

Author: Michael Kapovich
Publisher: Springer Science & Business Media
ISBN: 0817649131
Category : Mathematics
Languages : en
Pages : 486

View

Book Description
Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.

Author:
Publisher: Academic Press
ISBN: 9780080874050
Category : Mathematics
Languages : en
Pages : 436

View

Book Description
Seifert and Threlfall, A Textbook of Topology

Author: Sergei Matveev
Publisher: Springer Science & Business Media
ISBN: 3662051028
Category : Mathematics
Languages : en
Pages : 487

View

Book Description
Here is a thorough review of topics in 3-dimensional topology, derived from a decade of courses taught by the author. The author keeps the exposition to an elementary level by presenting the material mainly from the point of view of special polyhedra and special spines of 3-manifolds. The book culminates with the recognition procedure for Haken manifolds, and includes up-to-date results in computer enumeration of 3-mainfolds. The second edition adds new results, new proofs, and commentaries. Algorithmic Topology and Classification of 3-Manifolds serves as a standard reference for algorithmic 3-dimensional topology for both graduate students and researchers.

Author: Kyung Bai Lee
Publisher: American Mathematical Soc.
ISBN: 0821852310
Category : Mathematics
Languages : en
Pages : 418

View

Book Description
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.

Author: A.T. Fomenko
Publisher: Springer Science & Business Media
ISBN: 9401706999
Category : Mathematics
Languages : en
Pages : 343

View

Book Description
One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

Author: Kyung Bai Lee
Publisher: American Mathematical Soc.
ISBN: 0821875477
Category : Mathematics
Languages : en
Pages : 418

View

Book Description