advanced_tools:topology
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advanced_tools:topology [2017/12/20 10:29] jakobadmin |
advanced_tools:topology [2018/10/11 14:57] jakobadmin [Student] |
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| - | The [[theories:quantum_theory:quantum_field_theory:qcd_vacuum|QCD vacuum]] can only be understood through topological considerations. In addition, important effects in quantum field theory, like instantons or magnetic monopoles, have a topological origin. | + | The [[advanced_notions:quantum_field_theory:qcd_vacuum|QCD vacuum]] can only be understood through topological considerations. In addition, important effects in quantum field theory, like instantons or magnetic monopoles, have a topological origin. |
| <tabbox Layman> | <tabbox Layman> | ||
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| * [[http://sophia.dtp.fmph.uniba.sk/~fecko/referaty/regensburg_2011.pdf|Selected topological concepts used in physics - An introductory exposition]] by Marián Fecko | * [[http://sophia.dtp.fmph.uniba.sk/~fecko/referaty/regensburg_2011.pdf|Selected topological concepts used in physics - An introductory exposition]] by Marián Fecko | ||
| + | * A good overview is given in the chapter Topological foundations of Physics by Kouneiher in the book The Map and the Territory | ||
| * {{ :advanced_tools:groups-symmetry-and-topology-global-symmetry-and-local-symmetry-lecture-notes-physics.pdf |How to Talk to a Physicist: Groups,Symmetry, and Topology}} by Daniel T. Larson | * {{ :advanced_tools:groups-symmetry-and-topology-global-symmetry-and-local-symmetry-lecture-notes-physics.pdf |How to Talk to a Physicist: Groups,Symmetry, and Topology}} by Daniel T. Larson | ||
| * http://www.math3ma.com/mathema/2015/9/14/open-sets-are-everything | * http://www.math3ma.com/mathema/2015/9/14/open-sets-are-everything | ||
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| Donaldson showed was that in four dimensions these two different | Donaldson showed was that in four dimensions these two different | ||
| kinds of deformations lead to two completely different classification | kinds of deformations lead to two completely different classification | ||
| - | schemes. The fact that he did this using [[quantum_field_theory:gauge_symmetry|gauge theory]] and the solutions to differential equations (parts of mathematics that topologists | + | schemes. The fact that he did this using gauge theory and the solutions to differential equations (parts of mathematics that topologists |
| viewed as far from their own) just added to the surprise.** | viewed as far from their own) just added to the surprise.** | ||
advanced_tools/topology.txt · Last modified: 2018/10/11 14:57 by jakobadmin
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