Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive $(p, n)$-intermediate scalar curvature and cobordism   In this paper we consider a well-known construction due to Gromov and Lawson,
Schoen and Yau, Gajer, and Walsh which allows for the extension of a metric of
positive scalar curvature over the trace of a surgery in codimension at least
$3$ to a metric of positive scalar curvature which is a product near the
boundary. We generalize this construction to work for $(p,n)$-intermediate
scalar curvature for $0\leq p\leq n-2$ for surgeries in codimension at least
$p+3$. We then use it to generalize a well known theorem of Carr. Letting
${\cal R}^{s_{p,n}>0}(M)$ denote the space of positive $(p, n)$-intermediate
scalar curvature metrics on an $n$-manifold $M$, we show for $0\leq p\leq 2n-3$
and $n\geq 2$, that for a closed, spin, $(4n-1)$-manifold $M$ admitting a
metric of positive $(p,4n-1)$-intermediate scalar curvature, ${\cal
R}^{s_{p,4n-1}>0}(M)$ has infinitely many path components.

28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat