Invariants of Knots and 3-manifolds (Kyoto 2001)
Author | : Tomotada Ohtsuki |
Publisher | : |
Total Pages | : 600 |
Release | : 2002 |
Genre | : Knot theory |
ISBN | : |
Download Invariants of Knots and 3-manifolds (Kyoto 2001) Book in PDF, ePub and Kindle
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Invariants Of Knots And 3 Manifolds Kyoto 2001 A Collection Of Papers And Problems PDF full book. Access full book title Invariants Of Knots And 3 Manifolds Kyoto 2001 A Collection Of Papers And Problems.
Author | : Tomotada Ohtsuki |
Publisher | : |
Total Pages | : 600 |
Release | : 2002 |
Genre | : Knot theory |
ISBN | : |
Author | : Tomotada Ohtsuki |
Publisher | : |
Total Pages | : 572 |
Release | : 2004 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 2002 |
Genre | : Invariants |
ISBN | : |
Author | : Viktor Vasilʹevich Prasolov |
Publisher | : American Mathematical Soc. |
Total Pages | : 250 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0821808982 |
This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.
Author | : Lee Paul Neuwirth |
Publisher | : Princeton University Press |
Total Pages | : 346 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 140088151X |
There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.
Author | : |
Publisher | : |
Total Pages | : 866 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Author | : S. Chmutov |
Publisher | : Cambridge University Press |
Total Pages | : 521 |
Release | : 2012-05-24 |
Genre | : Mathematics |
ISBN | : 1107020832 |
A detailed exposition of the theory with an emphasis on its combinatorial aspects.
Author | : Matthias Aschenbrenner |
Publisher | : Erich Schmidt Verlag GmbH & Co. KG |
Total Pages | : 236 |
Release | : 2015 |
Genre | : Fundamental groups (Mathematics) |
ISBN | : 9783037191545 |
The field of 3-manifold topology has made great strides forward since 1982 when Thurston articulated his influential list of questions. Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and, finally, Agol's proof of the Virtual Haken Conjecture. This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focusing on the consequences for fundamental groups of 3-manifolds. As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable resource for researchers in the field who need a reference for these developments. It also gives a fast-paced introduction to this material. Although some familiarity with the fundamental group is recommended, little other previous knowledge is assumed, and the book is accessible to graduate students. The book closes with an extensive list of open questions which will also be of interest to graduate students and established researchers.
Author | : Vladimir G. Turaev |
Publisher | : European Mathematical Society |
Total Pages | : 300 |
Release | : 2010 |
Genre | : EMS tracts in mathematics |
ISBN | : 9783037190869 |
Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.
Author | : Benson Farb |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2006-09-12 |
Genre | : Mathematics |
ISBN | : 0821838385 |
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.