Scissors Congruences, Group Homology & Characteristic Classes PDF
by Dupont Johan L Dupont
Part of the Nankai Tracts In Mathematics series
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.
Information
-
Download - Immediately Available
- Format:PDF
- Pages:176 pages
- Publisher:World Scientific Publishing Company
- Publication Date:26/02/2001
- Category:
- ISBN:9789814491839
Information
-
Download - Immediately Available
- Format:PDF
- Pages:176 pages
- Publisher:World Scientific Publishing Company
- Publication Date:26/02/2001
- Category:
- ISBN:9789814491839
