The Geometry and Topology of Coxeter Groups
This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory. It examines the connections between Coxeter groups and major open problems in topology related to aspherical manifolds, such as the Euler Character...
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edizioa: | 2nd ed. 2025. |
| Saila: | Springer Monographs in Mathematics,
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-031-91303-7 |
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| 100 | 1 | |a Davis, Michael W. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Geometry and Topology of Coxeter Groups |h [electronic resource] / |c by Michael W. Davis. |
| 250 | |a 2nd ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XXIII, 582 p. 31 illus.). |b 1 illus. in color. | ||
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| 505 | 0 | |a Chapter 1. Introduction and preview -- Chapter 2. Some basic notions in geometric group theory -- Chapter 3. Coxeter groups -- Chapter 4. More combinatorics of Coxeter groups -- Chapter 5. The basic construction -- Chapter 6. Geometric reflection groups -- Chapter 7. The complex E -- Chapter 8. The algebraic topology of U and of E -- Chapter 9. The fundamental group and the fundamental group at infinity -- Chapter 10. Actions on manifolds -- Chapter 11. The reflection group trick -- Chapter 12. E is CAT(0) -- Chapter 13. Rigidity -- Chapter 14. Free quotients and surface subgroups -- Chapter 15. Another look at (co)homology -- Chapter 16. The Euler characteristic -- Chapter 17. Growth series -- Chapter 18. Artin Groups -- Chapter 19. L2-Betti numbers of Artin groups -- Chapter 20. Buildings -- Chapter 21. Hecke - von Neumann algebras -- Chapter 22. Weighted L2- (co)homology. | |
| 520 | |a This book, now in a revised and extended second edition, offers an in-depth account of Coxeter groups through the perspective of geometric group theory. It examines the connections between Coxeter groups and major open problems in topology related to aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer Conjectures. The book also discusses key topics in geometric group theory and topology, including Hopf’s theory of ends, contractible manifolds and homology spheres, the Poincaré Conjecture, and Gromov’s theory of CAT(0) spaces and groups. In addition, this second edition includes new chapters on Artin groups and their Betti numbers. Written by a leading expert, the book is an authoritative reference on the subject. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
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