1.Classical and Modern Topology. 2.Topological Phenomena in Real World Physics
Sergey P. Novikov
TL;DR
This paper reviews the history of topology and discusses recent discoveries of observable topological phenomena in physics, particularly in metals and quasiperiodic functions, highlighting the field's evolution and current research frontiers.
Contribution
It presents recent results on observable topological phenomena in metals and quasiperiodic functions, connecting topology with real-world physical systems.
Findings
Identification of new topological phenomena in normal metals
Insights into the topology of quasiperiodic functions on the plane
Historical overview of topology's development in physics
Abstract
Hystory of topology is discussed uncluding the Golden Age Period (1950-1970), the Period of Decay (1970-1980) and the Period of Recovery in 80s and 90s based on the ideas borrowed from physics community. In the second part recent result of the present author, A.Malcev, I Dynnikov and A.Zorich concerning new observable topological phenomena in normal metals and topology of quasiperiodic functions on the plane are presented
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Taxonomy
TopicsHistory and advancements in chemistry · Scientific Research and Philosophical Inquiry