Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The bihamiltonian structures of the DR/DZ hierarchies at the
  approximation up to genus one   In a recent paper, giving an arbitrary homogeneous cohomological field theory
(CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a
bracket on the space local functionals that conjecturally gives a second
Hamiltonian structure for the double ramification hierarchy associated to the
CohFT. In this paper we prove this conjecture at the approximation up to genus
1 and relate this bracket to the second Poisson bracket of the Dubrovin-Zhang
hierarchy by an explicit Miura transformation.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci