Author: Peter OrlikPublisher: Springer
ISBN: 3540379894
Category : Mathematics
Languages : en
Pages : 163
Book Description
Seifert Manifolds
Author: Peter OrlikPublisher: Springer
ISBN: 3540379894
Category : Mathematics
Languages : en
Pages : 163
Book Description
Seifert Manifolds
Author: Peter OrlikPublisher:
ISBN:
Category : Fiber bundles (Mathematics)
Languages : en
Pages : 155
Book Description
Lectures on the Topology of 3-Manifolds
Author: Nikolai SavelievPublisher: Walter de Gruyter
ISBN: 3110806355
Category : Mathematics
Languages : en
Pages : 212
Book Description
Hyperbolic Manifolds and Discrete Groups
Author: Michael KapovichPublisher: Springer Science & Business Media
ISBN: 0817649131
Category : Mathematics
Languages : en
Pages : 486
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.
Seifert and Threlfall, A Textbook of Topology
Author: Publisher: Academic Press
ISBN: 9780080874050
Category : Mathematics
Languages : en
Pages : 436
Book Description
Seifert and Threlfall, A Textbook of Topology
Algorithmic Topology and Classification of 3-Manifolds
Author: Sergei MatveevPublisher: Springer Science & Business Media
ISBN: 3662051028
Category : Mathematics
Languages : en
Pages : 487
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.
Seifert Fiberings
Author: Kyung Bai LeePublisher: American Mathematical Soc.
ISBN: 0821852310
Category : Mathematics
Languages : en
Pages : 418
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.
Seifert Fibered Spaces in 3-Manifolds
Author: William H. JacoPublisher: American Mathematical Soc.
ISBN: 0821822209
Category : Fiber spaces
Languages : en
Pages : 204
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.
Topology and Geometry of Manifolds
Author: Gordana MaticPublisher: American Mathematical Soc.
ISBN: 0821835076
Category : Mathematics
Languages : en
Pages : 370
Book Description
Since 1961, the Georgia Topology Conference has been held every eight years to discuss the newest developments in topology. The goals of the conference are to disseminate new and important results and to encourage interaction among topologists who are in different stages of their careers. Invited speakers are encouraged to aim their talks to a broad audience, and several talks are organized to introduce graduate students to topics of current interest. Each conference results in high-quality surveys, new research, and lists of unsolved problems, some of which are then formally published. Continuing in this 40-year tradition, the AMS presents this volume of articles and problem lists from the 2001 conference. Topics covered include symplectic and contact topology, foliations and laminations, and invariants of manifolds and knots. Articles of particular interest include John Etnyre's, ``Introductory Lectures on Contact Geometry'', which is a beautiful expository paper that explains the background and setting for many of the other papers. This is an excellent introduction to the subject for graduate students in neighboring fields. Etnyre and Lenhard Ng's, ``Problems in Low-Dimensional Contact Topology'' and Danny Calegari's extensive paper,``Problems in Foliations and Laminations of 3-Manifolds'' are carefully selected problems in keeping with the tradition of the conference. They were compiled by Etnyre and Ng and by Calegari with the input of many who were present. This book provides material of current interest to graduate students and research mathematicians interested in the geometry and topology of manifolds.
Algorithmic and Computer Methods for Three-Manifolds
Author: A.T. FomenkoPublisher: Springer Science & Business Media
ISBN: 9401706999
Category : Mathematics
Languages : en
Pages : 343
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.