Sofia Lambropoulou – författare
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8 produkter
8 produkter
Del 284 - Springer Proceedings in Mathematics & Statistics
Knots, Low-Dimensional Topology and Applications
Knots in Hellas, International Olympic Academy, Greece, July 2016
Inbunden, Engelska, 2019
1 914 kr
Skickas inom 10-15 vardagar
The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology;
Del 284 - Springer Proceedings in Mathematics & Statistics
Knots, Low-Dimensional Topology and Applications
Knots in Hellas, International Olympic Academy, Greece, July 2016
Häftad, Engelska, 2020
1 914 kr
Skickas inom 10-15 vardagar
The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology;
2 071 kr
Kommande
This book serves as an introduction and reference to knot theory in lens spaces, extending from basic concepts to a comprehensive exposition, including the newest approaches and results in the field. It presents two viewpoints, diagrammatic methods with combinatorial approaches and algebraic methods using generalizations of the Artin braid groups. The text is intended for students and researchers in knot theory, and topology in general.
First Congress of Greek Mathematicians
Proceedings of the Congress held in Athens, Greece, June 25–30, 2018
Inbunden, Engelska, 2020
1 979 kr
Skickas inom 5-8 vardagar
This interesting collection of up-to-date survey articles on various topics of current mathematical research presents extended versions of the plenary talks given by important Greek mathematicians at the congress held in Athens, Greece, on occasion of the celebration for the 100 years of the Hellenic Mathematical Society.
Del 219 - Springer Proceedings in Mathematics & Statistics
Algebraic Modeling of Topological and Computational Structures and Applications
THALES, Athens, Greece, July 1-3, 2015
Inbunden, Engelska, 2017
1 596 kr
Skickas inom 10-15 vardagar
This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups.The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.
Del 219 - Springer Proceedings in Mathematics & Statistics
Algebraic Modeling of Topological and Computational Structures and Applications
THALES, Athens, Greece, July 1-3, 2015
Häftad, Engelska, 2018
1 596 kr
Skickas inom 10-15 vardagar
This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).
Del 24 - Series on Knots & Everything
Knots In Hellas '98 - Proceedings Of The International Conference On Knot Theory And Its Ramifications
Inbunden, Engelska, 2000
3 065 kr
Tillfälligt slut
There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon-Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2,C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.
Del 46 - Series on Knots & Everything
Introductory Lectures On Knot Theory: Selected Lectures Presented At The Advanced School And Conference On Knot Theory And Its Applications To Physics And Biology
Inbunden, Engelska, 2011
2 633 kr
Skickas inom 3-6 vardagar
This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference.Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3-manifold topology in the last 25 years. From the Jones, Homflypt and Kauffman polynomials, quantum invariants of 3-manifolds, through, Vassiliev invariants, topological quantum field theories, to relations with gauge theory type invariants in 4-dimensional topology.More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.It is a remarkable fact that knot theory, while very special in its problematic form, involves ideas and techniques that involve and inform much of mathematics and theoretical physics. The subject has significant applications and relations with biology, physics, combinatorics, algebra and the theory of computation. The summer school on which this book is based contained excellent lectures on the many aspects of applications of knot theory. This book gives an in-depth survey of the state of the art of present day knot theory and its applications.