Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability Conditions for 3-fold Flops   Let $f\colon X\to\mathrm{Spec}\, R$ be a 3-fold flopping contraction, where
$X$ has at worst Gorenstein terminal singularities and $R$ is complete local.
We describe the space of Bridgeland stability conditions on the null
subcategory $\mathscr{C}$ of the bounded derived category of $X$, which
consists of those complexes that derive pushforward to zero, and also on the
affine subcategory $\mathscr{D}$, which consists of complexes supported on the
exceptional locus. We show that a connected component of stability conditions
on $\mathscr{C}$ is the universal cover of the complexified complement of the
real hyperplane arrangement associated to $X$ via the Homological MMP, and more
generally that a connected component of normalised stability conditions on
$\mathscr{D}$ is a regular covering space of the infinite hyperplane
arrangement constructed in Iyama-Wemyss [IW9]. Neither arrangement is Coxeter
in general. As a consequence, we give the first description of the Stringy
K\"ahler Moduli Space (SKMS) for all smooth irreducible 3-fold flops. The
answer is surprising: we prove that the SKMS is always a sphere, minus either
3, 4, 6, 8, 12 or 14 points, depending on the length of the curve.

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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga