Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of G_2-instantons via twisted connected sums   We propose a method to construct G_2-instantons over a compact twisted
connected sum G_2-manifold, applying a gluing result of S\'a Earp and Walpuski
to instantons over a pair of 7-manifolds with a tubular end (see
arXiv:1310.7933). In our example, the moduli spaces of the ingredient
instantons are non-trivial, and their images in the moduli space over the
asymptotic cross-section K3 surface intersect transversely. Such a pair of
asymptotically stable holomorphic bundles is obtained using a twisted version
of the Hartshorne-Serre construction, which can be adapted to produce other
examples. Moreover, their deformation theory and asymptotic behaviour are
explicitly understood, results which may be of independent interest.

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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics