Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real variations of stability conditions for noncommutative symplectic
  resolutions   A localization theorem for the cyclotomic rational Cherednik algebra
$H_c=H_c((\mathbb{Z}/l)^n\rtimes \mathfrak{S}_n)$ over a field of positive
characteristic has been proved by Bezrukavnikov, Finkelberg and Ginzburg.
Localizations with different parameters give different $t$-structures on the
derived category of coherent sheaves on the Hilbert scheme of points on a
surface. In this short note, we concentrate on the comparison between different
$t$-structures coming from different localizations. When $n=2$, we show an
explicit construction of tilting bundles that generates these $t$-structures.
These $t$-structures are controlled by a real variation of stability
conditions, a notion related to Bridgeland stability conditions. We also show
its relation to the topology of Hilbert schemes and irreducible representations
of $H_c$.

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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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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: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex