3-manifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download 3-manifolds PDF full book. Access full book title 3-manifolds by John Hempel. Download full books in PDF and EPUB format.
Author: John Hempel
Publisher: American Mathematical Soc.
ISBN: 0821869396
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
Author: Darryl McCullough
Publisher:
ISBN:
Category : Differentiable mappings
Languages : en
Pages : 104
Get Book Here
Book Description
Author: Peter W. Michor
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
Author: John Hempel
Publisher: American Mathematical Soc.
ISBN: 0821836951
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
A careful and systematic development of the theory of the topology of 3-manifolds, focusing on the critical role of the fundamental group in determining the topological structure of a 3-manifold ... self-contained ... one can learn the subject from it ... would be very appropriate as a text for an advanced graduate course or as a basis for a working seminar. --Mathematical Reviews For many years, John Hempel's book has been a standard text on the topology of 3-manifolds. Even though the field has grown tremendously, the book remains one of the best and most popular introductions to the subject. The theme of this book is the role of the fundamental group in determining the topology of a given 3-manifold. The essential ideas and techniques are covered in the first part of the book: Heegaard splittings, connected sums, the loop and sphere theorems, incompressible surfaces, free groups, and so on. Along the way, many useful and insightful results are proved, usually in full detail. Later chapters address more advanced topics, including Waldhausen's theorem on a class of 3-manifolds that is completely determined by its fundamental group. The book concludes with a list of problems that were unsolved at the time of publication. Hempel's book remains an ideal text to learn about the world of 3-manifolds. The prerequisites are few and are typical of a beginning graduate student. Exercises occur throughout the text.
Author: Danny Calegari
Publisher: Oxford University Press on Demand
ISBN: 0198570082
Category : Mathematics
Languages : en
Pages : 378
Get Book Here
Book Description
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Author: Darryl McCullough
Publisher: American Mathematical Soc.
ISBN: 0821823469
Category : Mathematics
Languages : en
Pages : 117
Get Book Here
Book Description
The authors study the mapping class groups of orientable [italic]P2-irreducible 3-manifolds with compressible boundary, and extend the results proved by K. Johannson for the boundary incompressible case. The authors show that the mapping class group is finitely-generated and has a geometrically defined subgroup of finite index. The main tool used in the proof of the results is to reduce the theorems to analogous statements about incompressible neighborhoods of compressible boundary components, and, using the fact that they have a very simple structure (being products-with-handles), to apply geometric techniques. Appropriate extensions of the results of the nonorientable [italic]P2-irreducible 3-manifolds are also given.
Author: Tomotada Ohtsuki
Publisher: World Scientific
ISBN: 9814490717
Category : Mathematics
Languages : en
Pages : 508
Get Book Here
Book Description
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants.
Author: William H. Jaco
Publisher: American Mathematical Soc.
ISBN: 0821822209
Category : Fiber spaces
Languages : en
Pages : 204
Get Book Here
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: Alden Halbert Wright
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 190
Get Book Here
Book Description
Author: Franc Forstnerič
Publisher: Springer
ISBN: 3319610589
Category : Mathematics
Languages : en
Pages : 569
Get Book Here
Book Description
This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. The exposition in the present volume focuses on the notion of an Oka manifold introduced by the author in 2009. It explores connections with elliptic complex geometry initiated by Gromov in 1989, with the Andersén-Lempert theory of holomorphic automorphisms of complex Euclidean spaces and of Stein manifolds with the density property, and with topological methods such as homotopy theory and the Seiberg-Witten theory. Researchers and graduate students interested in the homotopy principle in complex analysis will find this book particularly useful. It is currently the only work that offers a comprehensive introduction to both the Oka theory and the theory of holomorphic automorphisms of complex Euclidean spaces and of other complex manifolds with large automorphism groups.
Author: Jennifer Schultens
Publisher: American Mathematical Soc.
ISBN: 1470410206
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.
