Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of the homotopy surface category of a simply connected
  space   We introduce 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.

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int