Scissors Congruences, Group Homology & Characteristic Classes By: Dupont Johan L Publisher: World Scientific Print ISBN: 9789810245078, 9810245076 eText ISBN: 9789812810335, 9812810331 Format: PDF Available from $ 127.00 USD SKU: 9789812810335 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. SKU: 9789810245078 Download now: https://ebookscoffee.sellpass.io/pr...uences-Group-Homology--Characteristic-Classes
