Scissors Congruences, Group Homology and Characteristic Classes

Released on by Johan L. Dupont
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  • Scissors Congruences, Group Homology and Characteristic Classes Book Detail

  • Author : Johan L. Dupont
  • Release Date : 2001
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 178
  • ISBN 13 : 9810245084
  • File Size : 28,28 MB
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Scissors Congruences, Group Homology and Characteristic Classes by Johan L. Dupont PDF Summary

Book Description: 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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