Topology

This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang-Baxter equations.

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use.

The creative process of mathematics, both historically and individually, may be described as a counterpoint between theorems and examples.

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics.

This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas- sical techniques of applied mathematics.

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses.

This is both a textbook and a monograph.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

Tamari lattices originated from weakenings or reinterpretations of the familar associativity law.

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems .

This volume gathers the contributions from the international conference "e;Intelligence of Low Dimensional Topology 2006,"e; which took place in Hiroshima in 2006.

A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups.

This book collects papers on major topics in fixed point theory and its applications.

This generalization of geometry is bound to have wide- spread repercussions for mathematics as well as physics.

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries.

This volume consists of ten lectures given at an international workshop/conference on knot theory held in July 1996 at Waseda University Conference Center.

A self-contained account of the subject of algebraic cycles and motives as it stands.

Taking a direct route, "e;Essential Topology"e; brings the most important aspects of modern topology within reach of a second-year undergraduate student.

This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control.

Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015.

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.

During the past 25 years, set theory has developed in several interesting directions.

During the last five years, after the first meeting on "e;Quaternionic Structures in Mathematics and Physics"e;, interest in quaternionic geometry and its applications has continued to increase.

The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments.

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties.

Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Gödel) herausgegebenen "Ergebnisse eines Mathematischen Kolloquiums" zählen zu den wichtigsten Quellenwerken der Wissenschafts- und Geistesgeschichte der Zwischenkriegszeit, mit bahnbrechenden Beiträgen von Menger, Gödel, Tarski, Wald, John von Neumann und vielen anderen.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years.

Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959.

This IMA Volume in Mathematics and its Applications TOWARDS HIGHER CATEGORIES contains expository and research papers based on a highly successful IMA Summer Program on n-Categories: Foundations and Applications.

This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

This book explores and demonstrates how geometric tools can be used in data analysis.

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures.

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems.