Scissors Congruences, Group Homology and Characteristic Classes

Johan L Dupont

ISBN 10: 9810245084 / ISBN 13: 9789810245085

Published by World Scientific Publishing Company Mär 2001, 2001

About this Item

Neuware - 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.

Seller Inventory # 9789810245085

Bibliographic Details

• Title: Scissors Congruences, Group Homology and Characteristic Classes
• Publisher: World Scientific Publishing Company Mär 2001
• Publication Date: 2001
• Language: English
• ISBN 10: 9810245084
• ISBN 13: 9789810245085
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 215W x 153H x 10D millimeters 215 millimeters width by 153 millimeters height by 10 millimeters depth
• Weight: 245 grams

About this title

Synopsis

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.