Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertical sheaves and Fourier-Mukai transform on elliptic Calabi-Yau
  threefolds   This paper studies the action of the Fourier-Mukai transform on moduli spaces
of vertical torsion sheaves on elliptic Calabi-Yau threefolds in Weierstrass
form. Moduli stacks of semistable one dimensional sheaves on such threefolds
are identified with open and closed substacksof moduli stacks of vertical
semistable two dimensional sheaves on their Fourier-Mukai duals. In particular,
this yields explicit conjectural results for Donaldson-Thomas invariants of
vertical two dimensional sheaves on K3-fibered elliptic Calabi-Yau threefolds.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph