Thesis icon

Thesis

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...

Expand abstract

Actions


Authors


More by this author
Institution:
University of Oxford
Research group:
Topology
Oxford college:
University College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
Role:
Supervisor
Publication date:
2012
Type of award:
MSc
Level of award:
Masters
URN:
uuid:b9a8fc3b-4abd-49a1-b47c-c33f919a95ef
Local pid:
ora:8454

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP