Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Batalin-Vilkovisky formalism in the functional approach to classical
  field theory   We develop the Batalin-Vilkovisky formalism for classical field theory on
generic globally hyperbolic spacetimes. A crucial aspect of our treatment is
the incorporation of the principle of local covariance which amounts to
formulate the theory without reference to a distinguished spacetime. In
particular, this allows a homological construction of the Poisson algebra of
observables in classical gravity. Our methods heavily rely on the differential
geometry of configuration spaces of classical fields.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas