Scissors Congruences, Group Homology and Characteristic Classes

Author:   Johan L DuPont
Publisher:   World Scientific Publishing Company
ISBN:  

9786611951849


Publication Date:   26 February 2001
Format:   Electronic book text
Availability:   Out of stock   Availability explained
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Scissors Congruences, Group Homology and Characteristic Classes


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Overview

These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume scissors-congruent, ie. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M. Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of groups, algebraic K-theory, characteristics classes for flat bundles, and invariants for hyperbolic manifolds. Some of the material, particularly in the chapters on projective configurations, is published here for the first time.

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Author:   Johan L DuPont
Publisher:   World Scientific Publishing Company
Imprint:   World Scientific Publishing Company
ISBN:  

9786611951849


ISBN 10:   6611951849
Publication Date:   26 February 2001
Audience:   General/trade ,  General
Format:   Electronic book text
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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