Corpus ID: 119652412

The Classification of Two-Dimensional Extended Topological Field Theories

@article{SchommerPries2009TheCO,
  title={The Classification of Two-Dimensional Extended Topological Field Theories},
  author={Christopher J. Schommer-Pries},
  journal={arXiv: Algebraic Topology},
  year={2009}
}
  • Christopher J. Schommer-Pries
  • Published 2009
  • Mathematics
  • arXiv: Algebraic Topology
  • We provide a complete generators and relations presentation of the 2-dimensional extended unoriented and oriented bordism bicategories as symmetric monoidal bicategories. Thereby we classify these types of 2-dimensional extended topological field theories with arbitrary target bicategory. As an immediate corollary we obtain a concrete classification when the target is the symmetric monoidal bicategory of algebras, bimodules, and intertwiners over a fixed commutative ground ring. In the oriented… CONTINUE READING
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