Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On positive scalar curvature cobordisms and the conformal Laplacian on
  end-periodic manifolds   We show that the periodic $\eta$-invariants introduced by
Mrowka--Ruberman--Saveliev~\cite{MRS3} provide obstructions to the existence of
cobordisms with positive scalar curvature metrics between manifolds of
dimensions $4$ and $6$. The proof combines a relative version of the
Schoen--Yau minimal surface technique with an end-periodic index theorem for
the Dirac operator. As a result, we show that the bordism groups
$\Omega^{spin,+}_{n+1}(S^1 \times BG)$ are infinite for any non-trivial group
$G$ which is the fundamental group of a spin spherical space form of dimension
$n=3$ or $5$.

22
The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int