Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological String on elliptic CY 3-folds and the ring of Jacobi forms   We give evidence that the all genus amplitudes of topological string theory
on compact elliptically fibered Calabi-Yau manifolds can be written in terms of
meromorphic Jacobi forms whose weight grows linearly and whose index grows
quadratically with the base degree. The denominators of these forms have a
simple universal form with the property that the poles of the meromorphic form
lie only at torsion points. The modular parameter corresponds to the fibre
class while the role of the string coupling is played by the elliptic
parameter. This leads to very strong all genus results on these geometries,
which are checked against results from curve counting. The structure can be
viewed as an indication that an N=2 analog of the reciprocal of the Igusa cusp
form exists that might govern the topological string theory on these Calabi-Yau
manifolds completely.

3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin