Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inversion of series and the cohomology of the moduli spaces
  $\mathcal{M}^{\delta}_{0,n}$   For $n\geq 3$, let $\mathcal{M}_{0,n}$ denote the moduli space of genus 0
curves with $n$ marked points, and $\overline{\mathcal{M}}_{0,n}$ its smooth
compactification. A theorem due to Ginzburg, Kapranov and Getzler states that
the inverse of the exponential generating series for the Poincar\'e polynomial
of $H^{\bullet}(\mathcal{M}_{0,n})$ is given by the corresponding series for
$H^{\bullet}(\overline{\mathcal{M}}_{0,n})$. In this paper, we prove that the
inverse of the ordinary generating series for the Poincar\'e polynomial of
$H^{\bullet}(\mathcal{M}_{0,n})$ is given by the corresponding series for
$H^{\bullet}(\mathcal{M}^{\delta}_{0,n})$, where $\mathcal{M}_{0,n}\subset
\mathcal{M}^{\delta}_{0,n} \subset \overline{\mathcal{M}}_{0,n}$ is a certain
smooth affine scheme.

30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio