Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Kahler Geometry of the Standard Podles Sphere   Building on the now established presentation of the standard Podles sphere as
an example of a noncommutative complex structure, we investigate how its
classical Kahler geometry behaves under $q$-deformation. Discussed are
noncommutative versions of Hodge decomposition, Lefschetz decomposition, the
Kahler identities, and the refinement of de Rham cohomology by Dolbeault
cohomology

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga