Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $h^*$-polynomials of locally anti-blocking lattice polytopes and
  their $\gamma$-positivity   A lattice polytope $\mathcal{P} \subset \mathbb{R}^d$ is called a locally
anti-blocking polytope if for any closed orthant $\mathbb{R}^d_{\varepsilon}$
in $\mathbb{R}^d$, $\mathcal{P} \cap \mathbb{R}^d_{\varepsilon}$ is
unimodularly equivalent to an anti-blocking polytope by reflections of
coordinate hyperplanes. In the present paper, we give a formula for the
$h^*$-polynomials of locally anti-blocking lattice polytopes. In particular, we
discuss the $\gamma$-positivity of the $h^*$-polynomials of locally
anti-blocking reflexive polytopes.

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs