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Seiberg-Witten Gauge Theory

The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds;

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Gauge Theory and the Topology of Four-manifolds

The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten;

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The;

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Supersymmetric Noether Currents and Seiberg-Witten Theory

supersymmetric model the N=2 pure Yang-Mills effective gauge theory -- a four-dimensional non-trivial fully integrable quantum field theory, as shown by;

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Compact Complex Surfaces

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory;

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Compact Complex Surfaces

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory;

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Geometry and Topology of Manifolds

theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The;

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An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

the Donaldson and Seiberg-Witten invariants of smooth four-manifolds using the $mathrm{SO(3)}$-monopole cobordism. The main technical;

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Instanton Counting, Quantum Geometry and Algebra

gauge theory, known as the Seiberg-Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how;

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Differential Geometry and Mathematical Physics

-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof;

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Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds

of Harvard University who delivered three lectures on Seiberg-Witten and Gromov Invariants. In addition, there were ten one-hour lectures;

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Topology, Geometry and Gauge fields

physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field;

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New Mathematical Monographs

- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten;

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New Mathematical Monographs

- and four-dimensional geometry, and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten;

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Geometric Analysis and Applications to Quantum Field Theory

derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects;

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Topology, Geometry and Gauge Fields

of mathematical physics, especially gauge theory, on the study of the geometry and topology of manifolds. Much of the mathematics developed in the book to;

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Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (In 2 Volumes)

The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on;

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An Introduction to Invariants and Moduli

Incorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to;

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An Introduction to Invariants and Moduli

Incorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to;

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Chern-Simons Theory, Matrix Models, And Topological Strings

, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most important examples;

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Lectures on Tensor Categories and Modular Functors

of quantum field theory. Pioneering works of Witten and Moore-Seiberg triggered an avalanche of papers, both physical and mathematical, exploring;

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Superstring Theory

Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period;

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Superstring Theory

Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period;

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Riemannian Geometry and Geometric Analysis

the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that;

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Nonlinear Partial Differential Equations in Geometry and Physics

. The lectures are on: nonlinear hyperbolic systems arising in field theory and relativity; harmonic maps from Minkowski spacetime; dynamics;

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Lezioni Lincee

polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's;

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Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds

This unique book deals with the theory of Rozansky-Witten invariants, introduced by L Rozansky and E Witten in 1997. It covers the latest;

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