Scissors congruences, group homology and characteristic classes [[electronic resource] /] / Johan L. Dupont
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| Autore: |
Dupont Johan L
|
| Titolo: |
Scissors congruences, group homology and characteristic classes [[electronic resource] /] / Johan L. Dupont
|
| Pubblicazione: | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica: | 1 online resource (178 p.) |
| Disciplina: | 516.23 |
| Soggetto topico: | Tetrahedra |
| Volume (Cubic content) | |
| Characteristic classes | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (p. 159-165) and index. |
| Nota di contenuto: | Preface; Contents; Chapter 1. Introduction and History; Chapter 2. Scissors congruence group and homology; Chapter 3. Homology of flag complexes; Chapter 4. Translational scissors congruences; Chapter 5. Euclidean scissors congruences; Chapter 6. Sydler's theorem and non-commutative differential forms; Chapter 7. Spherical scissors congruences; Chapter 8. Hyperbolic scissors congruence; Chapter 9. Homology of Lie groups made discrete; Chapter 10. Invariants; Chapter 11. Simplices in spherical and hyperbolic 3-space; Chapter 12. Rigidity of Cheeger-Chern-Simons invariants |
| Chapter 13. Projective configurations and homology of the projective linear groupChapter 14. Homology of indecomposable configurations; Chapter 15. The case of PGl(3,F); Appendix A. Spectral sequences and bicomplexes; Bibliography; Index | |
| Sommario/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 gr |
| Titolo autorizzato: | Scissors congruences, group homology and characteristic classes |
| ISBN: | 1-281-95184-6 |
| 9786611951849 | |
| 981-281-033-1 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910454401303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Nankai tracts in mathematics ; ; v. 1.