Choose an application

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

Seiberg-Witten invariants. --- Homology theory. --- Three-manifolds (Topology)

Choose an application

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

Seiberg-Witten invariants. --- Global analysis (Mathematics) --- Four-manifolds (Topology) --- Mathematical physics.

Choose an application

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

Cobordism theory. --- Four-manifolds (Topology) --- Seiberg-Witten invariants. --- Cobordismes, Théorie des. --- Seiberg-Witten, Invariants de. --- Théorie des cobordismes --- Variétés topologiques à 4 dimensions --- Invariants de Seiberg-Witten --- Cobordism theory --- Seiberg-Witten invariants --- 4-dimensional manifolds (Topology) --- 4-manifolds (Topology) --- Four dimensional manifolds (Topology) --- Manifolds, Four dimensional --- Low-dimensional topology --- Topological manifolds --- Invariants --- Differential topology

Choose an application

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

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants.The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces. [Publisher]

Four-manifolds (Topology) --- Mathematical physics --- Seiberg-Witten invariants --- Seiberg-Witten invariants. --- Mathematical physics. --- Variétés topologiques à 4 dimensions --- Seiberg-Witten, Invariants de --- Physique mathématique --- Variétés topologiques à 4 dimensions --- Physique mathématique --- Variétés topologiques à 4 dimensions. --- Seiberg-Witten, Invariants de. --- Physique mathématique. --- 515.16 --- Invariants --- Physical mathematics --- Physics --- 4-dimensional manifolds (Topology) --- 4-manifolds (Topology) --- Four dimensional manifolds (Topology) --- Manifolds, Four dimensional --- Low-dimensional topology --- Topological manifolds --- 515.16 Topology of manifolds --- Topology of manifolds --- Mathematics --- Four-manifolds(Topology) --- MATHEMATICAL PHYSICS --- Variétés topologiques à 4 dimensions. --- Physique mathématique.

Choose an application

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

In the past few decades many attempts have been made to search for a consistent formulation of quantum field theory beyond perturbation theory. One of the most interesting examples is the Seiberg-Witten ansatz for the N=2 SUSY supersymmetric Yang-Mills gauge theories in four dimensions. The aim of this book is to present in a clear form the main ideas of the relation between the exact solutions to the supersymmetric (SUSY) Yang-Mills theories and integrable systems. This relation is a beautiful example of reformulation of close-to-realistic physical theory in terms widely known in mathematical

Seiberg-Witten invariants. --- Four-manifolds (Topology) --- String models. --- Models, String --- String theory --- Nuclear reactions --- 4-dimensional manifolds (Topology) --- 4-manifolds (Topology) --- Four dimensional manifolds (Topology) --- Manifolds, Four dimensional --- Low-dimensional topology --- Topological manifolds --- Invariants --- Seiberg-Witten invariants --- String models --- Variétés topologiques à 4 dimensions --- Modèles des cordes vibrantes (Physique nucléaire)