Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The small quantum cohomology of a weighted projective space, a mirror
  D-module and their classical limits   We first describe a canonical mirror partner (B-model) of the small quantum
orbifold cohomology of weighted projective spaces (A-model) in the framework of
differential equations: we attach to the A-model (resp. B-model) a D-module on
the torus and we show that these two D-modules are isomorphic. This makes the A
and B-models mirror partners and yields, in this situation, an explicit and
finer version of a recent result of Iritani. Then we study, using the theory of
the Kashiwara-Malgrange filtration, their degenerations at the origin and we
apply our results to the construction of (classical, limit, logarithmic)
Frobenius manifolds.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org