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Record Nr. |
UNINA9910454401303321 |
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Autore |
Dupont Johan L |
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Titolo |
Scissors congruences, group homology and characteristic classes [[electronic resource] /] / Johan L. Dupont |
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Pubbl/distr/stampa |
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Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
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ISBN |
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1-281-95184-6 |
9786611951849 |
981-281-033-1 |
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Descrizione fisica |
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1 online resource (178 p.) |
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Collana |
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Nankai tracts in mathematics ; ; 1 |
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Disciplina |
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Soggetti |
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Tetrahedra |
Volume (Cubic content) |
Characteristic classes |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 159-165) and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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