One half went to David J. Thouless, and one quarter each to F. Duncan M. Haldane and J. Michael Kosterlitz, for theoretical discoveries concerning topological phase transitions and topological quantum matter.[ref]
The Nobel Prize in Physics 2016 by Nobel Prize Outreach. Individual official summary: Thouless one half; Haldane and Kosterlitz one quarter each for topological phase transitions and phases of matter.
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