Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of variations in Batalin-Vilkovisky formalism   This is a paper about geometry of (iterated) variations. We explain why no
sources of divergence are built into the Batalin-Vilkovisky (BV) Laplacian,
whence there is no need to postulate any ad hoc conventions such as
"$\delta(0)=0$" and "$\log\delta(0)=0$" within BV-approach to quantisation of
gauge systems. Remarkably, the geometry of iterated variations does not refer
at all to the construction of Dirac's $\delta$-function as a limit of smooth
kernels. We illustrate the reasoning by re-deriving - but not just "formally
postulating" - the standard properties of BV-Laplacian and Schouten bracket and
by verifying their basic inter-relations (e.g., cohomology preservation by
gauge symmetries of the quantum master-equation).

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat