Scissors Congruences, Group Homology And Characteristic Classes (Hardcover)

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", i.e. 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, characteristic 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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Series:	Nankai Tracts in Mathematics, 1
Release date:	March 2001
First published:	February 2001
Authors:	Johan L. Dupont
Series editors:	Weiping Zhang
Dimensions:	230 x 157 x 17mm (L x W x T)
Format:	Hardcover
Pages:	176
ISBN-13:	978-981-02-4507-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Euclidean geometry Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	981-02-4507-6
Barcode:	9789810245078

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