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Currently, in the interaction between string theory, quantum field theory and topology, there is an increased use of category-theoretic methods. Independent developments (e.g. the categorificiation of knot invariants, bundle gerbes and topological field theories on extended cobordism categories) have put higher categories in the focus.
The workshop has brought together researchers working on diverse problems in which categorical ideas play a significant role.
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Peter G. Bouwknegt, Daniel S. Freed, Christoph Schweigert, Geometry, Quantum Fields, and Strings: Categorial Aspects. Oberwolfach Rep. 7 (2010), no. 2, pp. 1485–1533DOI 10.4171/OWR/2010/25