Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A moment map interpretation of the Ricci form, K\"ahler--Einstein
  structures, and Teichm\"uller spaces   This paper surveys the role of moment maps in K\"ahler geometry. The first
section discusses the Ricci form as a moment map and then moves on to moment
map interpretations of the K\"ahler--Einstein condition and the scalar
curvature (Quillen--Fujiki--Donaldson). The second section examines the
ramifications of these results for various Teichm\"uller spaces and their
Weil--Petersson symplectic forms and explains how these arise naturally from
the construction of symplectic quotients. The third section discusses a
symplectic form introduced by Donaldson on the space of Fano complex
structures.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc