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The Wild World of 4-Manifolds

of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main;

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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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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134

of the Kirillov-Reshetikhin shadow world, leading to expressions for all the invariants in terms of state summations on 2-cell complexes;

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The Homotopy Category of Simply Connected 4-Manifolds

The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two;

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Nonlinear Analysis on Manifolds

This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds;

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The Geometry of Walker Manifolds

manifolds of dimension 3 as these are quite tractable. We then pass to the 4 dimensional setting as a gateway to higher dimensions. Since the book;

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Surgery on Compact Manifolds

. The world of high-dimensional manifolds had been opened up to the classification methods of algebraic topology by Thom's work in 1952 on;

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Torsions of 3-dimensional Manifolds

gradually becoming mainstream and are spreading beyond the pure topology world. This monograph is a timely and very useful addition to the;

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London Mathematical Society Lecture Note Series

This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as;

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Introduction to 3-Manifolds

-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the;

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Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on;

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Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact;

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Twistor Theory

Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts;

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Twistor Theory

Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts;

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Prospects in Topology (AM-138), Volume 138

of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries;

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Foundations of Differentiable Manifolds and Lie Groups

Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold;

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Riemannian Manifolds and Homogeneous Geodesics

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also;

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Riemannian Manifolds and Homogeneous Geodesics

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also;

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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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Encyclopedia of Mathematics and its Applications

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing;

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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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Isoperimetric Inequalities

This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact;

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Isoperimetric Inequalities

This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact;

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Wild Horses

Discusses the different wild horses that can be found around the world today, including Chincoteague ponies, Australian Brumbies, American;

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Relative Index Theory, Determinants And Torsion For Open Manifolds

For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and;

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Hyperkahler Manifolds (2010 re-issue)

This volume introduces hyperkahler manifolds to those who have not previously studied them. The book is divided into two parts on;

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Elements of Differential Topology

Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology;

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