Scissors Congruences, Group Homology & Characteristic Classes (eBook)

Dupont Johan L Dupont (Autor)

eBook Download: PDF

2001
176 Seiten
World Scientific Publishing Company (Verlag)
978-981-4491-83-9 (ISBN)

Infos

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 "e;scissors-congruent"e;, 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.

Produkt-Details

• Erscheint lt. Verlag: 26.2.2001
• Mitarbeit: Herausgeber (Serie): Zhang Weiping Zhang
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 981-4491-83-7 / 9814491837
• ISBN-13: 978-981-4491-83-9 / 9789814491839