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Four-manifolds (Topology)

Most popular at the top

  • Outer Circlesby A. Marden

    Cambridge University Press 2007; US$ 72.00

    Excellent introductory text on the contemporary theory of hyperbolic 3-manifolds. more...

  • The Reidemeister Torsion of 3-Manifoldsby Liviu I. Nicolaescu

    Walter de Gruyter, Inc. 2003; US$ 79.95

    This work discusses the theoretical foundations of torsion, one of the oldest topological variants. It presents the work of Reidmeister, Taubes, Turaev and the author, focusing particularly on diverse examples and techniques rather than abstract generalizations. more...

  • Infinite Dimensional Groups and Manifoldsby Tilmann Wurzbacher

    Walter de Gruyter, Inc. 2004; US$ 36.95

    The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infini more...

  • Monopoles and Three-Manifoldsby Peter Kronheimer; Tomasz Mrowka

    Cambridge University Press 2007; US$ 52.00

    A comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. more...

  • Topological Invariants of Stratified Spacesby M. Banagl

    Springer 2007; US$ 129.00

    Covers the restoration of Poincare duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. This book also includes proofs of decomposition theorems for self-dual sheaves, as well as an explanation of methods for computing twisted characteristic classes. more...

  • Relative Index Theory, Determinants and Torsion for Open Manifoldsby Jürgen Eichhorn

    World Scientific 2009; US$ 90.00

    For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outline of the necessary tools from nonlinear Sobolev analysis. more...

  • Elliptic Structures on 3-Manifoldsby Charles Benedict Thomas

    Cambridge University Press 1986; US$ 44.00

    This volume will give a systematic exposition of known results for free actions by finite groups on S. more...

  • The Algebraic Characterization of Geometric 4-Manifoldsby J. A. Hillman

    Cambridge University Press 1994; US$ 54.00

    This book is essential reading for anyone interested in low-dimensional topology. more...

  • Grassmannians of Classical Buildingsby Mark Pankov

    World Scientific 2010; US$ 98.00

    Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings - Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions. The book is self-contained and the requirement for the reader is a knowledge of basic algebra and graph theory. This makes it very suitable for use in a course for graduate... more...

  • Lectures on the Topology of 3-Manifoldsby Nikolai Saveliev

    Walter de Gruyter 2011; US$ 525.00

    This textbook ?now in its second revised and extended edition ?introduces the topology of 3- and 4-dimensional manifolds. It also considers new developments especially related to the Heegaard Floer and contact homology. The book is accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic topology, including the fundamental group, basic homology theory, and Poincaré duality on manifolds. more...