Scissors Congruences, Group Homology And Characteristic Classes - Nankai Tracts in Mathematics 1 (Hardback)
  • Scissors Congruences, Group Homology And Characteristic Classes - Nankai Tracts in Mathematics 1 (Hardback)
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Scissors Congruences, Group Homology And Characteristic Classes - Nankai Tracts in Mathematics 1 (Hardback)

(author), (series editor)
£71.00
Hardback 176 Pages / Published: 01/03/2001
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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.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789810245078
Number of pages: 176
Weight: 390 g
Dimensions: 230 x 157 x 17 mm

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