Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of Compact Cayley Submanifolds with Boundary   Let M be an 8-manifold with a Spin(7)-structure. We first show that closed
Cayley submanifolds of M form a smooth moduli space for a generic
Spin(7)-structure. Then we study the deformations of a compact, connected
Cayley submanifold X of M with non-empty boundary contained in a given
submanifold W of M such that X and W meet orthogonally. We show that they are
rigid for a generic Spin(7)-structure. We further show that they are also rigid
for a generic deformation of W.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org