Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of Courant Algebroids and Dirac Structures via Blended
  Structures   Deformations of a Courant Algebroid E and its Dirac subbundle A have been
widely considered under the assumption that the pseudo-Euclidean metric is
fixed. In this paper, we attack the same problem in a setting that allows the
pseudo-Euclidean metric to deform. Thanks to Roytenberg, a Courant algebroid is
equivalent to a symplectic graded Q-manifold of degree 2. From this viewpoint,
we extend the notions of graded Q-manifold, DGLA and L_\infty-algebra all to
"blended" version so that Poisson manifold, Lie algebroid and Courant algebroid
are unified as blended Q-manifolds; and define a submaniold A of "coisotropic
type" which naturally generalizes the concepts of coisotropic submanifolds, Lie
subalgebroids and Dirac subbundles. It turns out the deformations a blended
homological vector field Q is controlled by a blended DGLA, and the
deformations of A is controlled by a blended L_\infty-algebra. The results
apply to the deformations of a Courant algebroid and its Dirac structures, the
deformations of a Poisson manifold and its coisotropic submanifold, the
deformations of a Lie algebroid and its Lie subalgebroid.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph