Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From quantum curves to topological string partition functions II   We propose a geometric characterisation of the topological string partition
functions associated to the local Calabi-Yau (CY) manifolds used in the
geometric engineering of $d=4$, $\mathcal{N}=2$ supersymmetric field theories
of class $\mathcal{S}$. A quantisation of these CY manifolds defines
differential operators called quantum curves. The partition functions are
extracted from the isomonodromic tau-functions associated to the quantum curves
by expansions of generalised theta series type. It turns out that the partition
functions are in one-to-one correspondence with preferred coordinates on the
moduli spaces of quantum curves defined using the Exact WKB method. The
coordinates defined in this way jump across certain loci in the moduli space.
The changes of normalisation of the tau-functions associated to these jumps
define a natural line bundle playing a key role in the geometric
characterisation of the topological string partition functions proposed here.

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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
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: eess
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cs
18
The categories of this paper are: econ
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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat