Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli of
  objects   We show that a Calabi-Yau structure of dimension $d$ on a smooth dg category
$C$ induces a symplectic form of degree $2-d$ on the moduli space of objects
$M_{C}$. We show moreover that a relative Calabi-Yau structure on a dg functor
$C \to D$ compatible with the absolute Calabi-Yau structure on $C$ induces a
Lagrangian structure on the corresponding map of moduli $M_{D} \to M_{C}$.

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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: physics