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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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Seiberg Witten and Gromov Invariants for Symplectic 4-manifolds

delivered by some of the foremost researchers in the field of four dimensional smooth and symplectic topology. Volume I of these proceedings;

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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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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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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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Geometry and Topology of Manifolds

This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology;

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Gauge Theory and the Topology of Four-manifolds

Donaldson's applications of the subject to 4-manifold topology, where the central concern was the geometry of the moduli space.One reason for the;

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Nonlinear Partial Differential Equations in Geometry and Physics

of vortices in the Ginzburg-Landau model of superconductivity; and the Seiberg-Witten equations and their application to problems in four-dimensional;

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Differential Equations on Manifolds and Mathematical Physics

dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

multilinear algebra, general topology, and real analysis. This is followed by material on the classical theory of curves and surfaces, expanded to;

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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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Topology, Geometry and Gauge fields

readers up the level of physics and mathematics needed to conclude with a brief discussion of the Seiberg-Witten invariants. A large number;

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The Wild World of 4-Manifolds

This book offers a panorama of the topology of simply-connected smooth manifolds of dimension four. Dimension four is unlike any other;

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Topology And Physics - Proceedings Of The Nankai International Conference In Memory Of Xiao-song Lin

broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The;

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Symplectic Geometry and Topology

notes from the following courses: Introduction to Symplectic Topology by D. McDuff; Holomorphic Curves and Dynamics in Dimension Three by H;

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A Short Course in Differential Topology

of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the;

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Elements of Differential Topology

of manifolds. Exercises are included in each chapter, with solutions and hints at the back of the book. A sound introduction to the theory of smooth;

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Differential Manifolds

. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds;

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Elliptic Theory on Singular Manifolds

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and;

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Elliptic Theory on Singular Manifolds

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and;

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From Calculus to Cohomology

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory;

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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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Elements of Combinatorial and Differential Topology

of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth;

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Basic Topology 2

This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It;

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Ricci Flow and Geometric Applications

conjectures come from this area and the techniques described herein are used to face and solve some of them. The book's four chapters are;

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The Topology of 4-Manifolds

of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.;

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