Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential Calculus on Manifolds with a Boundary. Applications   This paper contains a set of lecture notes on manifolds with boundary and
corners, with particular attention to the space of quantum states. A
geometrically inspired way of dealing with these kind of manifolds is
presented,and explicit examples are given in order to clearly illustrate the
main ideas.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs