Scissors Congruences, Group Homology and Characteristic Classes - Couverture rigide

Dupont, Johan L

 
9789810245078: Scissors Congruences, Group Homology and Characteristic Classes

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.

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Autres éditions populaires du même titre

9789810245085: Scissors Congruences, Group Homology and Characteristic Classes

Edition présentée

ISBN 10 :  9810245084 ISBN 13 :  9789810245085
Editeur : World Scientific Publishing Co P..., 2001
Couverture souple