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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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Geometry and Topology of Manifolds

problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery;

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Proceedings of the Goekova Geometry-Topology Conference 2016

theory, Lie groups, hyperkahler manifolds, and more. The 23rd Goekova Geometry-Topology Conference was sponsored by the National Science;

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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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Gauge Theory and the Topology of Four-manifolds

interest in this study is the connection between the gauge theory moduli spaces of a Kahler manifold and the algebro-geometric moduli space;

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From Calculus to Cohomology

developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable;

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New Ideas In Low Dimensional Topology

dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted;

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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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Geometry and Topology: Manifolds

This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as;

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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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Manifolds Tensorsnd Forms

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose;

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Elements of Differential Topology

of manifold theory, and concludes with discussions on algebraic topology, algebraic/differential geometry, and Lie groups. The first two chapters;

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Introductory Course on Differentiable Manifolds

than 200 exercises offer students ample opportunity to gauge their skills and gain additional insights.The four-part treatment begins;

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Introductory Lectures on Manifold Topology

Since the 1950s, many new ideas and tools from algebra, and algebraic and geometric topology, have been applied to study the structure;

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Lectures and Surveys on G2-Manifolds and Related Topics

with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and;

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Differential Topology

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 4

over the areas of conformal geometry, gauge theory, symplectic geometry, mean curvature, spectral theory, and general relativity. Among the authors;

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Differential Topology

appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments;

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The Topology of Fibre Bundles. (PMS-14), Volume 14

begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Elements Of Algebraic Topology

Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory;

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Differential Manifolds

The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory;

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Hyperbolic Manifolds and Discrete Groups

-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the Big Monster, i.e., on Thurston's;

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I.G.Petrovskii

articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real;

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I.G.Petrovskii

articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real;

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Differential Topology

explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional;

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Topology and Geometry

, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: An interesting and original;

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