Appears in collection : Higher Structures in Holomorphic and Topological Field Theory

For any discrete group G, homotopy field theories (HFTs), introduced by V. Turaev, are G-equivariant versions of topological field theories (TFTs). Developing techniques in differential topology and in the theory of symmetric monoidal bicategories C. Schommer-Pries classified 2-dimensional extended TFTs in 2009. In this talk, generalizing Schommer-Pries' methods we define and classify 2-dimensional extended HFTs.