Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy gap for Yang-Mills connections, II: Arbitrary closed Riemannian
  manifolds   In this sequel to [arXiv:1412.4114], we prove an $L^{d/2}$ energy gap result
for Yang-Mills connections on principal $G$-bundles, $P$, over arbitrary,
closed, Riemannian, smooth manifolds of dimension $d\geq 2$. We apply our
version of the Lojasiewicz-Simon gradient inequality [arXiv:1409.1525,
arXiv:1510.03815] to remove a positivity constraint on a combination of the
Ricci and Riemannian curvatures in a previous $L^{d/2}$-energy gap result due
to Gerhardt (2010) and a previous $L^\infty$-energy gap result due to
Bourguignon, Lawson, and Simons (1981, 1979), as well as an $L^2$-energy gap
result due to Nakajima (1987) for a Yang-Mills connection over the sphere,
$S^d$, but with an arbitrary Riemannian metric. The main correction in this
version involves replacement of the role of Corollary 4.3 due to Uhlenbeck
(1985) and Theorem 5.1 due to the author in the published version of this
article at http://dx.doi.org/10.1016/j.aim.2017.03.023 by that of Theorems 1
and 9 due to the author in arXiv:1906.03954.

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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex