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Scissors Congruences, Group Homology and Characteristic Classes by Johan L. DuPont, Weiping Zhang

Scissors Congruences, Group Homology and Characteristic Classes

by Johan L. DuPont , Weiping Zhang
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Book cover type: Paperback
  • ISBN13: 9789810245085
  • Binding: Paperback
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 176
  • Original Price: GBP 43.0
  • Language: English
  • Edition: N/A
  • Item Weight: 245 grams
  • BISAC Subject(s): Geometry / Analytic

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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