Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothness of Kuranishi atlases on Gromov-Witten moduli spaces   Kuranishi atlases were introduced by McDuff and Wehrheim to build a virtual
fundamental class on moduli spaces of J-holomorphic curves and resolve some of
the challenges in this field. This paper considers Gromov-Witten moduli spaces
and shows they admit a smooth enough Kuranishi atlas to be able to define a
Gromov-Witten virtual fundamental class in any virtual dimension. The key step
for this result is the proof of a stronger gluing theorem.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
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
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph