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1 + 1 dimensional cobordism categories and invertible TQFT for Klein surfaces

Abstract:

We discuss a method of classifying 2-dimensional invertible topological quantum field theories (TQFTs) whose domain surface categories allow non-orientable cobordisms. These are known as Klein TQFTs. To this end we study the 1+1 dimensional open-closed unoriented cobordism category K, whose objects are compact 1-manifolds and whose morphisms are compact (not necessarily orientable) cobordisms up to homeomorphism. We are able to compute the fundamental group of its classifying spac...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Topology
Oxford college:
University College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2012
Type of award:
MSc
Level of award:
Masters
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:b9a8fc3b-4abd-49a1-b47c-c33f919a95ef
Local pid:
ora:8454
Deposit date:
2014-05-16

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