Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formality of Kapranov's brackets in K\"ahler geometry via pre-Lie
  deformation theory   We recover some recent results by Dotsenko, Shadrin and Vallette on the
Deligne groupoid of a pre-Lie algebra, showing that they follow naturally by a
pre-Lie variant of the PBW Theorem. As an application, we show that Kapranov's
$L_\infty$ algebra structure on the Dolbeault complex of a K\"ahler manifold is
homotopy abelian and independent on the choice of K\"ahler metric up to an
$L_\infty$ isomorphism, by making the trivializing homotopy and the $L_\infty$
isomorphism explicit.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex