Topological state sum models in four dimensions, half-twists and their applications

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Topological state sum models in four dimensions, half-twists and their applications

Various mathematical tools are developed with the aim of application in mathematical physics. In the first part, a new state sum model for four-manifolds is introduced which generalises the Crane-Yetter model. It is parametrised by a pivotal functor from a spherical fusion category into a ribbon fu...

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Bibliographic Details
Main Author:	Bärenz, Manuel
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2017
Subjects:	Topological quantum field theory ; state sum models ; quantum gravity ; category theory
Online Access:	https://eprints.nottingham.ac.uk/41720/

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