Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fullerenes, Polytopes and Toric Topology   The lectures are devoted to a remarkable class of $3$-dimensional polytopes,
which are mathematical models of the important object of quantum physics,
quantum chemistry and nanotechnology -- fullerenes. The main goal is to show
how results of toric topology help to build combinatorial invariants of
fullerenes. Main notions are introduced during the lectures. The lecture notes
are addressed to a wide audience.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex