Download or read book Gems Computers and Attractors for 3 manifolds written by S¢stenes Lins and published by World Scientific. This book was released on 1995 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants.
Download or read book Gems Computers And Attractors For 3 manifolds written by Sostenes Lins and published by World Scientific. This book was released on 1995-09-30 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dealing with 3-manifolds using computers. Its emphasis is on presenting algorithms which are used for solving (in practice) the homeomorphism problem for the smallest of these objects. The key concept is the 3-gem, a special kind of edge-colored graph, which encodes the manifold via a ball complex. Passages between 3-gems and more standard presentations like Heegaard diagrams and surgery descriptions are provided. A catalogue of all closed orientable 3-manifolds induced by 3-gems up to 30 vertices is included. In order to help the classification, various invariants are presented, including the new quantum invariants.
Download or read book Algorithmic Topology and Classification of 3 Manifolds written by Sergei Matveev and published by Springer Science & Business Media. This book was released on 2007-07-23 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph... All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". Zentralblatt für Mathematik 2004 For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.
Download or read book Quantum Invariants written by Tomotada Ohtsuki and published by World Scientific. This book was released on 2002 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ChernOCoSimons field theory and the WessOCoZuminoOCoWitten model are described as the physical background of the invariants. Contents: Knots and Polynomial Invariants; Braids and Representations of the Braid Groups; Operator Invariants of Tangles via Sliced Diagrams; Ribbon Hopf Algebras and Invariants of Links; Monodromy Representations of the Braid Groups Derived from the KnizhnikOCoZamolodchikov Equation; The Kontsevich Invariant; Vassiliev Invariants; Quantum Invariants of 3-Manifolds; Perturbative Invariants of Knots and 3-Manifolds; The LMO Invariant; Finite Type Invariants of Integral Homology 3-Spheres. Readership: Researchers, lecturers and graduate students in geometry, topology and mathematical physics."
Download or read book Linknot Knot Theory By Computer written by Slavik Vlado Jablan and published by World Scientific. This book was released on 2007-11-16 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: LinKnot — Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics.The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves.Hands-on computations using Mathematica or the webMathematica package LinKnot and beautiful illustrations facilitate better learning and understanding. LinKnot is also a powerful research tool for experimental mathematics implementation of Caudron's ideas. The use of Conway notation enables experimenting with large families of knots and links.Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata.
Download or read book Mystery Of Knots The Computer Programming For Knot Tabulation written by Charilaos N Aneziris and published by World Scientific. This book was released on 1999-12-13 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and concepts are extensively discussed, and no advanced background is required.
Download or read book Resenhas IME USP written by and published by . This book was released on 1995 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1960 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Atti del Seminario matematico e fisico dell Universit di Modena written by and published by . This book was released on 2001 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of the Korean Mathematical Society written by and published by . This book was released on 1998 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bolet n de la Sociedad Matem tica Mexicana written by Sociedad Matemática Mexicana and published by . This book was released on 2004 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Proceedings of the Conference s on Geometric Structures on Manifolds written by Suhyoung Choi and published by . This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo written by Circolo matematico di Palermo and published by . This book was released on 1997 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rendiconti dell Istituto di matematica dell Universit di Trieste written by Università degli studi di Trieste. Istituto di matematica and published by . This book was released on 2000 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Origin of Discrete Particles written by Ted Bastin and published by World Scientific Publishing Company. This book was released on 2009 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique summary of the results of a long research project undertaken by the authors on discreteness in modern physics. In contrast with the usual expectation that discreteness is the result of mathematical tools for insertion into a continuous theory, this more basic treatment builds up the world from the discrimination of discrete entities. This gives an algebraic structure in which certain fixed numbers arise. As such, one agrees with the measured value of the fine-structure constant to one part in 10,000,000 (107).
Download or read book American Book Publishing Record written by and published by . This book was released on 1995 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:
