Scissors Congruences, Group Homology and Characteristic Classes
| Autor: | Dupont, Johan L |
|---|---|
| EAN: | 9789810245078 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 176 |
| Produktart: | Gebunden |
| Herausgeber: | Zhang, Weiping |
| Veröffentlichungsdatum: | 01.03.2001 |
| Schlagworte: | Mathematics |
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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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