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Thesis

Topological phases of matter, symmetries, and K-theory

Abstract:

This thesis contains a study of topological phases of matter, with a strong emphasis on symmetry as a unifying theme. We take the point of view that the "topology" in many examples of what is loosely termed "topological matter", has its origin in the symmetry data of the system in question. From the fundamental work of Wigner, we know that topology resides not only in the group of symmetries, but also in the cohomological data of projective unitary-antiunitary representations. Furthermore...

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Institution:
University of Oxford
Research group:
Mathematical Physics
Oxford college:
Balliol College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

Contributors

Role:
Supervisor
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Funding agency for:
Guo Chuan Thiang
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:53b10289-8b59-46c2-a0e9-5a5fb77aa2a2
Local pid:
ora:9641

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