Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on Kuranishi Atlases   These notes aim to explain a joint project with Katrin Wehrheim that uses
finite dimensional reductions to construct a virtual fundamental class for the
Gromov--Witten moduli space of closed genus zero curves. Our method is based on
work by Fukaya and Ono as well as more recent work by Fukaya, Oh, Ohta, and
Ono. We reformulated their ideas in order to clarify the formal structures
underlying the construction and make explicit all important choices (of
tamings, shrinkings and reductions), thus creating tools with which to give an
explicit proof that the virtual fundamental class is independent of these
choices. After summarizing the main ideas and proofs in the arXiv preprint
1208.1340, these notes explain the modifications needed to deal with isotropy.
Further sections outline the construction of a Kuranishi atlas in the genus
zero case, and give some examples of their use. We also show that every finite
dimensional orbifold has a Kuranishi atlas.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th