Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass, Kaehler Manifolds, and Symplectic Geometry   In the author's previous joint work with Hans-Joachim Hein, a mass formula
for asymptotically locally Euclidean (ALE) Kaehler manifolds was proved,
assuming only relatively weak fall-off conditions on the metric. However, the
case of real dimension 4 presented technical difficulties that led us to
require fall-off conditions in this special dimension that are stronger than
the Chrusciel fall-off conditions that sufficed in higher dimensions. The
present article, however, shows that techniques of $4$-dimensional symplectic
geometry can be used to obtain all the major results of the previous paper,
assuming only Chrusciel-type fall-off. In particular, the present article
presents a new a proof of our Penrose-type inequality for the mass of an
asymptotically Euclidean Kaehler manifold that only requires Chrusciel metric
fall-off.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat