We discuss the homotopy surface category of a space which generalizes the 1+1-dimensional cobordism category of circles and surfaces to the situation where one introduces a background space. We explain how for a simply connected background space, monoidal functors from this category to vector spaces can be interpreted in terms of Frobenius algebras with additional structure.
|Number of pages||10|
|Journal||Journal of Knot Theory and its Ramifications|
|Publication status||Published - Nov 2000|