Author : Johan L Dupont
Publisher : World Scientific
ISBN 13 : 9814491837
Total Pages : 178 pages
Book Rating : 4.8/5 (144 download)
Book Synopsis Scissors Congruences, Group Homology & Characteristic Classes by : Johan L Dupont
Download or read book Scissors Congruences, Group Homology & Characteristic Classes written by Johan L Dupont and published by World Scientific. This book was released on 2001-02-26 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.