Exotic smoothness and physics: differential topology and spacetime models
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Hackensack, NJ
World Scientific
c2007
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references (p. 307-316) and index 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 |
Beschreibung: | 1 Online-Ressource (xiv, 322 p.) |
ISBN: | 9789810241957 9789812706669 981024195X 9812706666 |
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500 | |a Includes bibliographical references (p. 307-316) and index | ||
500 | |a 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 | ||
500 | |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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author | Asselmeyer-Maluga, Torsten |
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discipline | Mathematik |
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spelling | Asselmeyer-Maluga, Torsten Verfasser aut Exotic smoothness and physics differential topology and spacetime models Torsten Asselmeyer-Maluga, Carl H. Brans Hackensack, NJ World Scientific c2007 1 Online-Ressource (xiv, 322 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 307-316) and index 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 MATHEMATICS / Topology bisacsh Differential topology fast Mathematical physics fast Space and time / Mathematical models fast Mathematische Physik Mathematisches Modell Differential topology Space and time Mathematical models Mathematical physics Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s Raum-Zeit (DE-588)4302626-6 s 1\p DE-604 Brans, Carl Henry Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203819 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Asselmeyer-Maluga, Torsten Exotic smoothness and physics differential topology and spacetime models MATHEMATICS / Topology bisacsh Differential topology fast Mathematical physics fast Space and time / Mathematical models fast Mathematische Physik Mathematisches Modell Differential topology Space and time Mathematical models Mathematical physics Differentialtopologie (DE-588)4012255-4 gnd Raum-Zeit (DE-588)4302626-6 gnd |
subject_GND | (DE-588)4012255-4 (DE-588)4302626-6 |
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 | MATHEMATICS / Topology bisacsh Differential topology fast Mathematical physics fast Space and time / Mathematical models fast Mathematische Physik Mathematisches Modell Differential topology Space and time Mathematical models Mathematical physics Differentialtopologie (DE-588)4012255-4 gnd Raum-Zeit (DE-588)4302626-6 gnd |
topic_facet | MATHEMATICS / Topology Differential topology Mathematical physics Space and time / Mathematical models Mathematische Physik Mathematisches Modell Space and time Mathematical models Differentialtopologie Raum-Zeit |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203819 |
work_keys_str_mv | AT asselmeyermalugatorsten exoticsmoothnessandphysicsdifferentialtopologyandspacetimemodels AT branscarlhenry exoticsmoothnessandphysicsdifferentialtopologyandspacetimemodels |