Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cobordism categories of manifolds with Baas-Sullivan singularities, Part
  2   For a given list of closed manifolds $\Sigma_k=(P_1,...,P_k)$, we construct a
cobordism category $\mathbf{Cob}_{d}^{\Sigma_{k}}$ of embedded manifolds with
Baas-Sullivan singularities of type $\Sigma_k$. Our main results identify the
homotopy type of the classifying spaces $B\mathbf{Cob}_{d}^{\Sigma_{k}}$ of
these cobordism categories with that of the infinite loop-space of a certain
spectrum, $\mathsf{MT}_{\Sigma_{k}}(d)$. Our results generalize of the work of
Galatius, Madsen, Tillmann, and Weiss from arXiv:math/0605249. It also
generalizes the work of Genauer on the cobordism categories of manifolds with
corners from arXiv:0810.0581.

5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an