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This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg–Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds.
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Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to... Læs mere
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This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations
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This work contains presentations from the international workshop on local cohomology held in Guanajuato, Mexico. It includes expanded lecture notes of two... Læs mere
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Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and... Læs mere
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The second of two volumes on non-associative normed algebras, reorganises an enormous amount of research material dispersed across hundreds of papers, producing new results. It provides a unique treatment, intended for both researchers and graduate students.
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This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment... Læs mere
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Moduli theory represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other... Læs mere
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Whilst many books in linear algebra focus purely on getting students through exams, this text explains both the how and the why of... Læs mere
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This book provides a new family of finite complexes and explores their properties. It identifies and describes a variety of new algebraic and topological techniques that may have a wide applicability in unstable p-primary homotopy theory.
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This is a book about the invariant theory of finite groups, written by an algebraic topologist. It illustrates the theorems by applying them to concrete cases, and examines several basic ideas and problems of invariant theory in the context of some elementary examples.
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Huge advances in intersection homology theory, along with significant applications of the theory have emerged in diverse areas of mathematics. This book... Læs mere