This talk is an introduction to unoriented topological field theory. I will give an overview of known examples and highlight some open problems. I will also describe a new class of examples, namely unoriented extensions of twisted Dijkgraaf-Witten theory, and the resulting topological interpretation of the character theory of categorical representations.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/TopologySeminar