## Algebraic L-theory and Topological Manifolds

**Author**: A. A. Ranicki

**Publisher:**Cambridge University Press

**ISBN:**9780521420242

**Category:**Mathematics

**Page:**358

**View:**6268

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"However, research mathematicians applying ideas from algebraic and geometric topology in areas such as number theory or algebra will also benefit from this authoritative account."--BOOK JACKET.

## Automorphisms of Manifolds and Algebraic K-Theory: Part III

**Author**: Michael S. Weiss, Bruce E. Williams

**Publisher:**American Mathematical Soc.

**ISBN:**147040981X

**Category:**Mathematics

**Page:**110

**View:**834

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The structure space of a closed topological -manifold classifies bundles whose fibers are closed -manifolds equipped with a homotopy equivalence to . The authors construct a highly connected map from to a concoction of algebraic -theory and algebraic -theory spaces associated with . The construction refines the well-known surgery theoretic analysis of the block structure space of in terms of -theory.

## High-dimensional Knot Theory

*Algebraic Surgery in Codimension 2*

**Author**: Andrew Ranicki

**Publisher:**Springer Science & Business Media

**ISBN:**3662120119

**Category:**Mathematics

**Page:**646

**View:**1999

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Bringing together many results previously scattered throughout the research literature into a single framework, this work concentrates on the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory.

## Topology, Geometry, and Algebra

*Interactions and New Directions : Conference on Algebraic Topology in Honor of R. James Milgram, August 17-21, 1999, Stanford University*

**Author**: R. James Milgram,Alejandro Adem,Gunnar Carlsson,Ralph L. Cohen

**Publisher:**American Mathematical Soc.

**ISBN:**082182063X

**Category:**Mathematics

**Page:**255

**View:**6119

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This volume presents the proceedings from the conference on ``Topology, Geometry, and Algebra: Interactions and New Directions'' held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgery theory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas.

## Ends of Complexes

**Author**: Bruce Hughes,Andrew Ranicki

**Publisher:**Cambridge University Press

**ISBN:**9780521576253

**Category:**Mathematics

**Page:**353

**View:**4090

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A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.

## Lower K- and L-theory

**Author**: Andrew Ranicki

**Publisher:**Cambridge University Press

**ISBN:**9780521438018

**Category:**Mathematics

**Page:**174

**View:**8428

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This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author.

## Surveys on Surgery Theory

*Papers Dedicated to C.T.C. Wall*

**Author**: Sylvain E. Cappell,Charles Terence Clegg Wall,Andrew Ranicki,Jonathan Rosenberg

**Publisher:**Princeton University Press

**ISBN:**9780691049380

**Category:**Mathematics

**Page:**448

**View:**6572

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Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

## Sūgaku Expositions

*A Translation of Sūgaku*

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**7664

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## Bulletin of the Belgian Mathematical Society, Simon Stevin

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**5827

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## Algebraic and Geometric Topology

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Algebraic topology

**Page:**N.A

**View:**6143

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## Bulletin (new Series) of the American Mathematical Society

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**3094

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## Floer Homology Groups in Yang-Mills Theory

**Author**: S. K. Donaldson

**Publisher:**Cambridge University Press

**ISBN:**9781139432603

**Category:**Mathematics

**Page:**N.A

**View:**5341

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The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.

## Geometry, Analysis and Topology of Discrete Groups

**Author**: Lizhen Ji

**Publisher:**International Pressof Boston Incorporated

**ISBN:**9781571461261

**Category:**Mathematics

**Page:**468

**View:**2121

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Discrete subgroups of Lie groups are foundational objects in modern mathematics and occur naturally in different subjects. This new volume presents 15 papers treating discrete groups as they occur in areas such as algebra, analysis, geometry, number theory, and topology. Most of the papers are surveys, and the volume is intended to help graduate students and researchers better understand the structures and applications of discrete subgroups of Lie groups and locally symmetric spaces.

## London Mathematical Society lecture note series

**Author**: Andrew Ranicki

**Publisher:**N.A

**ISBN:**N.A

**Category:**

**Page:**N.A

**View:**2708

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## Documenta Mathematica

*Journal Der Deutschen Mathematiker-Vereinigung*

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Mathematics

**Page:**N.A

**View:**1790

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## Geometry & Topology

**Author**: N.A

**Publisher:**N.A

**ISBN:**N.A

**Category:**Geometry

**Page:**N.A

**View:**9046

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Fully refereed international journal dealing with all aspects of geometry and topology and their applications.

## Surgery on Compact Manifolds

**Author**: Charles Terence Clegg Wall,Andrew Ranicki

**Publisher:**American Mathematical Soc.

**ISBN:**0821809423

**Category:**Mathematics

**Page:**302

**View:**4549

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The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.

## Monopoles and Three-Manifolds

**Author**: Peter Kronheimer,Tomasz Mrowka

**Publisher:**Cambridge University Press

**ISBN:**1139468669

**Category:**Mathematics

**Page:**N.A

**View:**3758

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Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg–Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg–Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides a full discussion of a central part of the study of the topology of manifolds.

## Third International Congress of Chinese Mathematicians

**Author**: Ka-Sing Lau,Zhouping Xin,Shing-Tung Yau

**Publisher:**Amer Mathematical Society

**ISBN:**N.A

**Category:**Mathematics

**Page:**874

**View:**608

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This volume consists of the proceedings of the Third International Congress of Chinese Mathematicians, held at the Chinese University of Hong Kong in December 2004. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics.

## Mappings and dimension

**Author**: V. I. Arnold

**Publisher:**N.A

**ISBN:**N.A

**Category:**Dimension theory (Topology)

**Page:**229

**View:**7038

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