Sometime in October, The Royal Swedish Academy of Sciences announced the recipients of this year’s Nobel Prize for physics: half went to David J. Thouless at the University of Washington, Seattle and half to F. Duncan M. Haldane of Princeton University and J. Michael Kosterlitz of Brown University for, in the Academy’s words, “theoretical discoveries of topological phase transitions and topological phases of matter.”
Here is an article explaining the concepts clearly and in depth.
Here is some 'crazy' quote:
"A topologist is a person who doesn't know the difference between a coffee cup and a doughnut.” (Anonymous)
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