Topological quantum field theories can be viewed as symmetric monoidal functors from a bordism category to the category of vector spaces.
Homotopy quantum field theories (HQFTs) are a variation of these but where all the manifolds carry a map to some fixed topological space. A classical result states that two-dimensional topological quantum field theories are classified by commutative Frobenius algebras. Two-dimensional HQFTs are classified by a generalisation of this algebra - called a twisted-Frobenius algebra. We review the classical TQFT result, and describe how we get the structure of a twisted-Frobenius algebra and from a two-dimensional HQFT.
Note: this is Bradley's final talk on his work for his MPhil degree at MSI.
In person attendance is available for up to 25 people.
Virtual attendance via Zoom. To access the Zoom link please click here.