Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of Calabi homomorphism and non-simpleness of the area
  preserving homeomorphism group of $D^2$   The content of this paper has no mathematical flaw except that the proof of
the main theorem relies on the homotopy invariance of spectral invariants of
topological Hamiltonian paths. Since the latter is still up in the air, the
main result of the paper is the reduction of the extension problem of the
Calabi homomorphism to the group of hameomorphism is still conjectural.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys