Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cell decompositions of moduli space, lattice points and Hurwitz problems   In this article we describe cell decompositions of the moduli space of
Riemann surfaces and their relationship to a Hurwitz problem. The cells possess
natural linear structures and with respect to this they can be described as
rational convex polytopes which come equipped with natural integer points and a
volume form. We show how to effectively calculate the number of lattice points
and the volumes over all the cells and that these calculations contain deep
information about the moduli space.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc