Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.

Braid theory. --- Braids, Theory of --- Theory of braids --- Knot theory --- Low-dimensional topology --- Covering spaces (Topology) --- Spaces, Covering (Topology) --- Topological spaces

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential topology --- Differential geometry. Global analysis --- Four-manifolds (Topology) --- Variétés topologiques à 4 dimensions --- 515.162 --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Four-manifolds (Topology). --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Variétés topologiques à 4 dimensions

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks an important step in the computation of the K-theory of their group rings. The classification itself is somewhat intricate, due to the rich structure of the finite subgroups of these braid groups, and is achieved by an in-depth analysis of their group-theoretical and topological properties, such as their centralisers, normalisers and cohomological periodicity. Another important aspect of our work is the close relationship of the braid groups with mapping class groups. This manuscript will serve as a reference for the study of braid groups of low-genus surfaces, and isaddressed to graduate students and researchers in low-dimensional, geometric and algebraic topology and in algebra.

Braid theory. --- Finite groups. --- Group theory. --- Braid theory --- Group theory --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Groups, Theory of --- Substitutions (Mathematics) --- Braids, Theory of --- Theory of braids --- Mathematics. --- Algebra. --- Algebraic topology. --- Group Theory and Generalizations. --- Algebraic Topology. --- Knot theory --- Low-dimensional topology --- Mathematical analysis --- Topology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Dinàmica de fluids --- Mecànica de fluids --- Aerodinàmica --- Capa límit --- Equacions de Navier-Stokes --- Fluídica --- Fluïdització --- Hidrodinàmica --- Magnetohidrodinàmica --- Ones de xoc --- Turbulència --- Vòrtexs --- Tixotropia --- Braid theory. --- Fluid dynamics. --- Dynamics. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Dynamics --- Fluid mechanics --- Braids, Theory of --- Theory of braids --- Knot theory --- Low-dimensional topology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Four-manifolds (Topology) --- Four-manifolds (Topology). --- Variétés topologiques à 4 dimensions --- 4-dimensional manifolds (Topology) --- 4-manifolds (Topology) --- Four dimensional manifolds (Topology) --- Manifolds, Four dimensional --- Topological manifolds --- Variétés topologiques à 4 dimensions --- 515.162 --- Low-dimensional topology --- 515.162 Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Low-dimensional manifold topology. Topological surfaces. Topological 3-manifolds, 4-manifolds. Knots. Links. Braids --- Four-manifolds(Topology)