Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the $(\infty,n)$-category of cobordisms   In this extended note we give a precise definition of fully extended
topological field theories \`a la Lurie. Using complete $n$-fold Segal spaces
as a model, we construct an $(\infty,n)$-category of $n$-dimensional
cobordisms, possibly with tangential structure. We endow it with a symmetric
monoidal structure and show that we can recover the usual category of
cobordisms $n\operatorname{Cob}$ and the cobordism bicategory
$n\operatorname{Cob}^{ext}$ from it.

24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th