Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microlocal characterization of Lusztig sheaves for affine quivers and
  $g$-loops quivers   We prove that for extended Dynkin quivers, simple perverse sheaves in Lusztig
category are characterized by the nilpotency of their singular support. This
proves a conjecture of Lusztig in the case of affine quivers. For cyclic
quivers, we prove a similar result for a larger nilpotent variety and a larger
class of perverse sheaves. We formulate conjectures for similar results for
quivers with loops, for which we have to use the appropriate notion of
nilpotent variety, due to Bozec, Schiffmann and Vasserot. We prove our
conjecture for $g$-loops quivers ($g\geq 2$).

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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph