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Smooth Four-Manifolds and Complex Surfaces

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The Wild World of 4-Manifolds

invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as;

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Geometry and Topology of Manifolds

of view: topological, smooth, constant curvature, complex, and conformal. Each chapter briefly revisits basic results usually known to graduate;

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Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1;

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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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Complex Geometry of Slant Submanifolds

of relativity and potential applications in radiation and electromagnetic fields. Various open problems and conjectures on slant surfaces in complex;

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Complex Non-Kähler Geometry: Cetraro, Italy 2018

complex surfaces and compact Kahler manifolds, respectively. The courses by Sebastien Picard and Slawomir Dinew focused on analytic techniques;

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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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New Ideas In Low Dimensional Topology

submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual;

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Topology of Surfaces, Knots, and Manifolds

Topology of Surfaces, Knots, and Manifolds offers an intuition-based and example-driven approach to the basic ideas and problems involving;

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Lectures On Riemann Surfaces

This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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Smooth Manifolds

need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential;

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On Uniformization of Complex Manifolds: The Role of Connections (MN-22)

The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup;

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On Uniformization of Complex Manifolds: The Role of Connections (MN-22)

The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup;

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Principles of Algebraic Geometry

tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results;

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Introduction to 3-Manifolds

classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Elements of Differential Topology

integration on manifolds, abstract smooth manifolds, and the foundation for homotopical aspects of manifolds. The author then discusses a central;

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Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations

The uniformization theorem of Riemann surfaces is one of the most beautiful and important theorems in mathematics. Besides giving a clean;

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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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Harmonic Maps Into Homogeneous Spaces

This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring;

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The Topology of 4-Manifolds

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and;

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Theory of Algebraic Surfaces

theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Mostly Surfaces

This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group;

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