Scissors Congruences, Group Homology and Characteristic Classes.

Dupont, Johan:

ISBN 10: 9810245084 / ISBN 13: 9789810245085

Editore: Singapore: World Scientific, 2001

Riguardo questo articolo

Series: Nankai Tracts in Mathematics. viii 168p paperback, amber and blue covers, like new condition, a fresh copy, firm binding, clean and neat pages, text and mathematical notation very clear and sharp, an excellent copy Language: English Weight (g): 250. Codice articolo 233399

Dati bibliografici

Titolo: Scissors Congruences, Group Homology and ...

Casa editrice: Singapore: World Scientific

Data di pubblicazione: 2001

Legatura: Paperback

Condizione: As New

Edizione: prima edizione

Descrizione articolo

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.