Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the relationship between rational and trigonometric solutions
  of the WDVV equations   Legendre transformations provide a natural symmetry on the space of solutions
to the WDVV equations, and more specifically, between different Frobenius
manifolds. In this paper a twisted Legendre transformation is constructed
between solutions which define the corresponding dual Frobenius manifolds. As
an application it is shown that certain trigonometric and rational solutions of
the WDVV equations are related by such a twisted Legendre transform.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc