Scissors Congruences, Group Homology and Characteristic Classes

Johan L Dupont

ISBN 10: 9810245076 / ISBN 13: 9789810245078

Editore: World Scientific Publishing Company Mär 2001, 2001

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Neuware - 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.

Codice articolo 9789810245078

Dati bibliografici

• Titolo: Scissors Congruences, Group Homology and Characteristic Classes
• Editore: World Scientific Publishing Company Mär 2001
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 9810245076
• ISBN 13: 9789810245078
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 224 L x 157 A x 17 P (millimetri) 224 millimetri di larghezza per 157 millimetri di altezza per 17 millimetri di profondità
• Peso: 390 grammi

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Riassunto

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.

Product Description

Book by Dupont Johan L