Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Kahler geometry   Generalized Kahler geometry is the natural analogue of Kahler geometry, in
the context of generalized complex geometry. Just as we may require a complex
structure to be compatible with a Riemannian metric in a way which gives rise
to a symplectic form, we may require a generalized complex structure to be
compatible with a metric so that it defines a second generalized complex
structure. We explore the fundamental aspects of this geometry, including its
equivalence with the bi-Hermitian geometry on the target of a 2-dimensional
sigma model with (2,2) supersymmetry, as well as the relation to holomorphic
Dirac geometry and the resulting derived deformation theory. We also explore
the analogy between pre-quantum line bundles and gerbes in the context of
generalized Kahler geometry.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph