Scissors Congruences, Group Homology and Characteristic Classes: 1 - Brossura

Dupont, Johan L.

Brossura

ISBN 10: 9810245084 ISBN 13: 9789810245085

Casa editrice: World Scientific Pub Co Inc, 2001

Riassunto

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.

Dettagli dell?edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 9810245084
• ISBN 13: 9789810245085
• Rilegatura: Copertina flessibile
• Numero di pagine: 168
• Contatto del produttore: non disponibile