Topology plays a crucial role in various fields of physics, particularly in understanding the global properties of spacetime. Notable physicists such as Roger Penrose, Stephen Hawking, and Robert Geroch have utilized topological concepts in their work. Applications of topology include magnetic confinement in Tokamak reactors and the analysis of spacetime connectivity, which is essential for comprehending phenomena like Berry's phase. Differential topology is highlighted as a significant area that addresses the global aspects of physical systems, contrasting with the local focus of traditional physics equations.
PREREQUISITESPhysicists, mathematicians, and students interested in the intersection of topology and physics, particularly those focusing on spacetime theories and global properties of physical systems.
quasar987 said:I was under the impression that only differential geometry was involved in calculating the shape of space time. Can anyone confirm what Danger said?
This intervention is not a professional one and many other people could give a better answer to your question than me. But if you think to the notion of parallel transport and to its consequence, the Berry's phase for example, you get a first concrete application of the indirect effect of the topology on physical phenomenon. In my non-specialist mind, geometry and topology are notions very closed together even if any specialist will immediately contradicts my point of view. Hope I could help you!quasar987 said:What is the motivation for a physicist to learn topology?
Are there fields of physics that make explicit use of the concept of topology? (which ones)
Do the ideas of topology give any insights into any topic of physics?
etc.