Exotic smoothness and physics :: differential topology and spacetime models /
The recent revolution in differential topology related to the discovery of non-standard (?exotic?) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Hackensack, NJ ; London :
World Scientific,
©2007.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The recent revolution in differential topology related to the discovery of non-standard (?exotic?) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit? but now shown to be inco. |
| Beschreibung: | 1 online resource (xiv, 322 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 307-316) and index. |
| ISBN: | 9789812706669 9812706666 1281120758 9781281120755 9786611120757 6611120750 |
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| 520 | |a The recent revolution in differential topology related to the discovery of non-standard (?exotic?) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit? but now shown to be inco. | ||
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| contents | Preface; Contents; 1. Introduction and Background; 2. Algebraic Tools for Topology; 3. Smooth Manifolds, Geometry; 4. Bundles, Geometry, Gauge Theory; 5. Gauge Theory and Moduli Space; 6. A Guide to the Classification of Manifolds; 7. Early Exotic Manifolds; 8. The First Results in Dimension Four; 9. Seiberg-Witten Theory: The Modern Approach; 10. Physical Implications; 11. From Differential Structures to Operator Algebras and Geometric Structures; Bibliography; Index. |
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| spelling | Asselmeyer-Maluga, Torsten. http://id.loc.gov/authorities/names/no2007034565 Exotic smoothness and physics : differential topology and spacetime models / Torsten Asselmeyer-Maluga, Carl H. Brans. Hackensack, NJ ; London : World Scientific, ©2007. 1 online resource (xiv, 322 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references (pages 307-316) and index. Print version record. Preface; Contents; 1. Introduction and Background; 2. Algebraic Tools for Topology; 3. Smooth Manifolds, Geometry; 4. Bundles, Geometry, Gauge Theory; 5. Gauge Theory and Moduli Space; 6. A Guide to the Classification of Manifolds; 7. Early Exotic Manifolds; 8. The First Results in Dimension Four; 9. Seiberg-Witten Theory: The Modern Approach; 10. Physical Implications; 11. From Differential Structures to Operator Algebras and Geometric Structures; Bibliography; Index. The recent revolution in differential topology related to the discovery of non-standard (?exotic?) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit? but now shown to be inco. English. Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Space and time Mathematical models. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Topologie différentielle. Physique mathématique. MATHEMATICS Topology. bisacsh Differential topology fast Mathematical physics fast Space and time Mathematical models fast Brans, Carl Henry, 1935- https://id.oclc.org/worldcat/entity/E39PBJppCdyHcWtypkbpJh3xXd http://id.loc.gov/authorities/names/no2007034568 has work: Exotic smoothness and physics (Text) https://id.oclc.org/worldcat/entity/E39PCFw9j7K89MPfGFv69CQhd3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Asselmeyer-Maluga, Torsten. Exotic smoothness and physics. Hackensack, NJ ; London : World Scientific, ©2007 981024195X 9789810241957 (DLC) 2007279604 (OCoLC)56449715 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203819 Volltext |
| spellingShingle | Asselmeyer-Maluga, Torsten Exotic smoothness and physics : differential topology and spacetime models / Preface; Contents; 1. Introduction and Background; 2. Algebraic Tools for Topology; 3. Smooth Manifolds, Geometry; 4. Bundles, Geometry, Gauge Theory; 5. Gauge Theory and Moduli Space; 6. A Guide to the Classification of Manifolds; 7. Early Exotic Manifolds; 8. The First Results in Dimension Four; 9. Seiberg-Witten Theory: The Modern Approach; 10. Physical Implications; 11. From Differential Structures to Operator Algebras and Geometric Structures; Bibliography; Index. Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Space and time Mathematical models. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Topologie différentielle. Physique mathématique. MATHEMATICS Topology. bisacsh Differential topology fast Mathematical physics fast Space and time Mathematical models fast |
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| title | Exotic smoothness and physics : differential topology and spacetime models / |
| title_auth | Exotic smoothness and physics : differential topology and spacetime models / |
| title_exact_search | Exotic smoothness and physics : differential topology and spacetime models / |
| title_full | Exotic smoothness and physics : differential topology and spacetime models / Torsten Asselmeyer-Maluga, Carl H. Brans. |
| title_fullStr | Exotic smoothness and physics : differential topology and spacetime models / Torsten Asselmeyer-Maluga, Carl H. Brans. |
| title_full_unstemmed | Exotic smoothness and physics : differential topology and spacetime models / Torsten Asselmeyer-Maluga, Carl H. Brans. |
| title_short | Exotic smoothness and physics : |
| title_sort | exotic smoothness and physics differential topology and spacetime models |
| title_sub | differential topology and spacetime models / |
| topic | Differential topology. http://id.loc.gov/authorities/subjects/sh85037923 Space and time Mathematical models. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Topologie différentielle. Physique mathématique. MATHEMATICS Topology. bisacsh Differential topology fast Mathematical physics fast Space and time Mathematical models fast |
| topic_facet | Differential topology. Space and time Mathematical models. Mathematical physics. Topologie différentielle. Physique mathématique. MATHEMATICS Topology. Differential topology Mathematical physics Space and time Mathematical models |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203819 |
| work_keys_str_mv | AT asselmeyermalugatorsten exoticsmoothnessandphysicsdifferentialtopologyandspacetimemodels AT branscarlhenry exoticsmoothnessandphysicsdifferentialtopologyandspacetimemodels |